Odd/Even alternate

(+ digits)

Hello SeqFans,

- an odd integer must be followed by an even one;

- an even integer must be followed by an odd one;

- the same with the sequence's digits;

- take always the smallest available integer not already present in the sequence and not leading to a contradiction - voilą!

S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 210, 101, 212, 103, 214, 105, 216, 107, 218, 109, 230, 121, 232, 123, 234, 125, 236, 127, 238, 129, 250, 141, ...

Best,

É.

[Maximilian Hasler]:

Hello Eric,

I confirm your terms and add up to n=100, as well as a second version (not so nice but easier to compute) of the sequence, where only the last digit of a(n) and first digit of a(n+1) are compared.

(...)

First version:

/* v.1: any 2 adjacent digits are of opposite parity */ {ea6oct12(n,show=1,a=1,u)=for( i=2, n, u+=1<<a; show & print1(a","); for(t=1,9e9, bittest(u,t) & next; bittest(t+a,0) || next; !bittest(a%10 + t\10^(#Str(t)-1),0) & (t+=10^(#Str(t)-1)-1) & next;  my(tt=t); while( tt>9, bittest( tt+0+tt\=10, 0 ) || next(2)); a=t; break )); a}

ea6oct12(100)

S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 210, 101, 212, 103, 214, 105, 216, 107, 218, 109, 230, 121, 232, 123, 234, 125, 236, 127, 238, 129, 250, 141, 252, 143, 254, 145, 256, 147, 258, 149, 270, 161, 272, 163, 274, 165, 276, 167, 278, 169, 290, 181, 292, 183, 294, 185, 296, 187, 298, 189, 410, 301, 412, 303, 414, 305, 416, 307, 418, 309, 430, 321, 432, 323, 434, 325, 436, 327, 438, 329, 450, 341, 452, 343, 454, 345, 456, 347, 458, 349, 470, 361, 472, 363, 474, 365, 476, 367, 478, 369, 490, ... this is now https://oeis.org/A217555

Second version:

/* v.2: only ending & starting digits are compared */ {ea6oct12(n,show=1,a=1,u)=for( i=2, n, u+=1<<a; show & print1(a","); for(t=1,9e9, bittest(u,t) & next; bittest(t+a,0) || next; !bittest(a%10 + t\10^(#Str(t)-1),0) & (t+=10^(#Str(t)-1)-1) & next; a=t; break )); a} ea6oct12(100)

S2 = 1, 2, 3, 4, 5, 6, 7, 8, 9, 20, 11, 22, 13, 24, 15, 26, 17, 28, 19, 40, 31, 42, 33, 44, 35, 46, 37, 48, 39, 60, 51, 62, 53, 64, 55, 66, 57, 68, 59, 80, 71, 82, 73, 84, 75, 86, 77, 88, 79, 200, 91, 202, 93, 204, 95, 206, 97, 208, 99, 210, 101, 212, 103, 214, 105, 216, 107, 218, 109, 220, 111, 222, 113, 224, 115, 226, 117, 228, 119, 230, 121, 232, 123, 234, 125, 236, 127, 238, 129, 240, 131, 242, 133, 244, 135, 246, 137, 248, 139, 250, ... this is now https://oeis.org/A217556

[Jean-Marc Falcoz]:

S = 1, 2, 3, 4, 5, 6, 7, 8, 9, 210, 101, 212, 103, 214, 105, 216, 107, 218, 109, 230, 121, 232, 123, 234, 125, 236, 127, 238, 129, 250, 141, 252, 143, 254, 145, 256, 147, 258, 149, 270, 161, 272, 163, 274, 165, 276, 167, 278, 169, 290, 181, 292, 183, 294, 185, 296, 187, 298, 189, 410, 301, 412, 303, 414, 305, 416, 307, 418, 309, 430, 321, 432, 323, 434, 325, 436, 327, 438, 329, 450, 341, 452, 343, 454, 345, 456, 347, 458, 349, 470, 361, 472, 363, 474, 365, 476, 367, 478, 369, 490, 381, 492, 383, 494, 385, 496, 387, 498, 389, 610, 501, 612, 503, 614, 505, 616, 507, 618, 509, 630, 521, 632, 523, 634, 525, 636, 527, 638, 529, 650, 541, 652, 543, 654, 545, 656, 547, 658, 549, 670, 561, 672, 563, 674, 565, 676, 567, 678, 569, 690, 581, 692, 583, 694, 585, 696, 587, 698, 589, 810, 701, 812, 703, 814, 705, 816, 707, 818, 709, 830, 721, 832, 723, 834, 725, 836, 727, 838, 729, 850, 741, 852, 743, 854, 745, 856, 747, 858, 749, 870, 761, 872, 763, 874, 765, 876, 767, 878, 769, 890, 781, 892, 783, 894, 785, 896, 787, 898, 789, 21010, 901, 21012, 903, 21014, 905, 21016, 907, 21018, 909, 21030, 921, 21032, 923, 21034, 925, 21036, 927, 21038, 929, 21050, 941, 21052, 943, 21054, 945, 21056, 947, 21058, 949, 21070, 961, 21072, 963, 21074, 965, 21076, 967, 21078, 969, 21090, 981, 21092, 983, 21094, 985, 21096, 987, 21098, 989, 21210, 10101, 21212, 10103, 21214, 10105, 21216, 10107, 21218, 10109, 21230, 10121, 21232, 10123, 21234, 10125, 21236, 10127, 21238, 10129, 21250, 10141, 21252, 10143, 21254, 10145, 21256, 10147, 21258, 10149, 21270, 10161, 21272, 10163, 21274, 10165, 21276, 10167, 21278, 10169, 21290, 10181, 21292, 10183, 21294, 10185, 21296, 10187, 21298, 10189, 21410, 10301, 21412, 10303, 21414, 10305, 21416, 10307, 21418, 10309, 21430, 10321, 21432, 10323, 21434, 10325, 21436, 10327, 21438, 10329, 21450, 10341, 21452, 10343, 21454, 10345, 21456, 10347, 21458, 10349, 21470, 10361, 21472, 10363, 21474, 10365, 21476, 10367, 21478, 10369, 21490, 10381, 21492, 10383, 21494, 10385, 21496, 10387, 21498, 10389, 21610, 10501, 21612, 10503, 21614, 10505, 21616, 10507, 21618, 10509, 21630, 10521, 21632, 10523, 21634, 10525, 21636, 10527, 21638, 10529, 21650, 10541, 21652, 10543, 21654, 10545, 21656, 10547, 21658, 10549, 21670, 10561, 21672, 10563, 21674, 10565, 21676, 10567, 21678, 10569, 21690, 10581, 21692, 10583, 21694, 10585, 21696, 10587, 21698, 10589, 21810, 10701, 21812, 10703, 21814, 10705, 21816, 10707, 21818, 10709, 21830, 10721, 21832, 10723, 21834, 10725, 21836, 10727, 21838, 10729, 21850, 10741, 21852, 10743, 21854, 10745, 21856, 10747, 21858, 10749, 21870, 10761, 21872, 10763, 21874, 10765, 21876, 10767, 21878, 10769, 21890, 10781, 21892, 10783, 21894, 10785, 21896, 10787, 21898, 10789, 23010, 10901, 23012, 10903, 23014, 10905, 23016, 10907, 23018, 10909, 23030, 10921, 23032, 10923, 23034, 10925, 23036, 10927, 23038, 10929, 23050, 10941, 23052, 10943, 23054, 10945, 23056, 10947, 23058, 10949, 23070, 10961, 23072, 10963, 23074, 10965, 23076, 10967, 23078, 10969, 23090, 10981, 23092, 10983, 23094, 10985, 23096, 10987, 23098, 10989, 23210, 12101, 23212, 12103, 23214, 12105, 23216, 12107, 23218, 12109, 23230, 12121, 23232, 12123, 23234, 12125, 23236, 12127, 23238, 12129, 23250, 12141, 23252, 12143, 23254, 12145, 23256, 12147, 23258, 12149, 23270, 12161, 23272, 12163, 23274, 12165, 23276, 12167, 23278, 12169, 23290, 12181, 23292, 12183, 23294, 12185, 23296, 12187, 23298, 12189, 23410, 12301, 23412, 12303, 23414, 12305, 23416, 12307, 23418, 12309, 23430, 12321, 23432, 12323, 23434, 12325, 23436, 12327, 23438, 12329, 23450, 12341, 23452, 12343, 23454, 12345, 23456, 12347, 23458, 12349, 23470, 12361, 23472, 12363, 23474, 12365, 23476, 12367, 23478, 12369, 23490, 12381, 23492, 12383, 23494, 12385, 23496, 12387, 23498, 12389, 23610, 12501, 23612, 12503, 23614, 12505, 23616, 12507, 23618, 12509, 23630, 12521, 23632, 12523, 23634, 12525, 23636, 12527, 23638, 12529, 23650, 12541, 23652, 12543, 23654, 12545, 23656, 12547, 23658, 12549, 23670, 12561, 23672, 12563, 23674, 12565, 23676, 12567, 23678, 12569, 23690, 12581, 23692, 12583, 23694, 12585, 23696, 12587, 23698, 12589, 23810, 12701, 23812, 12703, 23814, 12705, 23816, 12707, 23818, 12709, 23830, 12721, 23832, 12723, 23834, 12725, 23836, 12727, 23838, 12729, 23850, 12741, 23852, 12743, 23854, 12745, 23856, 12747, 23858, 12749, 23870, 12761, 23872, 12763, 23874, 12765, 23876, 12767, 23878, 12769, 23890, 12781, 23892, 12783, 23894, 12785, 23896, 12787, 23898, 12789, 25010, 12901, 25012, 12903, 25014, 12905, 25016, 12907, 25018, 12909, 25030, 12921, 25032, 12923, 25034, 12925, 25036, 12927, 25038, 12929, 25050, 12941, 25052, 12943, 25054, 12945, 25056, 12947, 25058, 12949, 25070, 12961, 25072, 12963, 25074, 12965, 25076, 12967, 25078, 12969, 25090, 12981, 25092, 12983, 25094, 12985, 25096, 12987, 25098, 12989, 25210, 14101, 25212, 14103, 25214, 14105, 25216, 14107, 25218, 14109, 25230, 14121, 25232, 14123, 25234, 14125, 25236, 14127, 25238, 14129, 25250, 14141, 25252, 14143, 25254, 14145, 25256, 14147, 25258, 14149, 25270, 14161, 25272, 14163, 25274, 14165, 25276, 14167, 25278, 14169, 25290, 14181, 25292, 14183, 25294, 14185, 25296, 14187, 25298, 14189, 25410, 14301, 25412, 14303, 25414, 14305, 25416, 14307, 25418, 14309, 25430, 14321, 25432, 14323, 25434, 14325, 25436, 14327, 25438, 14329, 25450, 14341, 25452, 14343, 25454, 14345, 25456, 14347, 25458, 14349, 25470, 14361, 25472, 14363, 25474, 14365, 25476, 14367, 25478, 14369, 25490, 14381, 25492, 14383, 25494, 14385, 25496, 14387, 25498, 14389, 25610, 14501, 25612, 14503, 25614, 14505, 25616, 14507, 25618, 14509, 25630, 14521, 25632, 14523, 25634, 14525, 25636, 14527, 25638, 14529, 25650, 14541, 25652, 14543, 25654, 14545, 25656, 14547, 25658, 14549, 25670, 14561, 25672, 14563, 25674, 14565, 25676, 14567, 25678, 14569, 25690, 14581, 25692, 14583, 25694, 14585, 25696, 14587, 25698, 14589, 25810, 14701, 25812, 14703, 25814, 14705, 25816, 14707, 25818, 14709, 25830, 14721, 25832, 14723, 25834, 14725, 25836, 14727, 25838, 14729, 25850, 14741, 25852, 14743, 25854, 14745, 25856, 14747, 25858, 14749, 25870, 14761, 25872, 14763, 25874, 14765, 25876, 14767, 25878, 14769, 25890, 14781, 25892, 14783, 25894, 14785, 25896, 14787, 25898, 14789, 27010, 14901, 27012, 14903, 27014, 14905, 27016, 14907, 27018, 14909, 27030, 14921, 27032, 14923, 27034, 14925, 27036, 14927, 27038, 14929, 27050, 14941, 27052, 14943, 27054, 14945, 27056, 14947, 27058, 14949, 27070, 14961, 27072, 14963, 27074, 14965, 27076, 14967, 27078, 14969, 27090, 14981, 27092, 14983, 27094, 14985, 27096, 14987, 27098, 14989, 27210, 16101, 27212, 16103, 27214, 16105, 27216, 16107, 27218, 16109, 27230, 16121, 27232, 16123, 27234, 16125, 27236, 16127, 27238, 16129, 27250, 16141, 27252, 16143, 27254, 16145, 27256, 16147, 27258, 16149, 27270, 16161, 27272, 16163, 27274, 16165, 27276, 16167, 27278, 16169, 27290, 16181, 27292, 16183, 27294, 16185, 27296, 16187, 27298, 16189, 27410, 16301, 27412, 16303, 27414, 16305, 27416, 16307, 27418, 16309, 27430, 16321, 27432, 16323, 27434, 16325, 27436, 16327, 27438, 16329, 27450, 16341, 27452, 16343, 27454, 16345, 27456, 16347, 27458, 16349, 27470, 16361, 27472, 16363, 27474, 16365, 27476, 16367, 27478, 16369, 27490, 16381, 27492, 16383, 27494, 16385, 27496, 16387, 27498, 16389, 27610, 16501, 27612, 16503, 27614, 16505, 27616, 16507, 27618, 16509, 27630, 16521, 27632, 16523, 27634, 16525, 27636, 16527, 27638, 16529, 27650, 16541, 27652, 16543, 27654, 16545, 27656, 16547, 27658, 16549, 27670, 16561, 27672, 16563, 27674, 16565, 27676, 16567, 27678, 16569, 27690, 16581, 27692, 16583, 27694, 16585, 27696, 16587, 27698, 16589, 27810, 16701, 27812, 16703, 27814, 16705, 27816, 16707, 27818, 16709, 27830, 16721, 27832, 16723, 27834, 16725, 27836, 16727, 27838, 16729, 27850, 16741, 27852, 16743, 27854, 16745, 27856, 16747, 27858, 16749, 27870, 16761, 27872, 16763, 27874, 16765, 27876, 16767, 27878, 16769, 27890, 16781, 27892, 16783, 27894, 16785, 27896, 16787, 27898, 16789, 29010, 16901, 29012, 16903, 29014, 16905, 29016, 16907, 29018, 16909, 29030, 16921, 29032, 16923, 29034, 16925, 29036, 16927, 29038, 16929, 29050, 16941, 29052, 16943, 29054, 16945, 29056, 16947, 29058, 16949, 29070, 16961, 29072, 16963, 29074, 16965, 29076, 16967, 29078, 16969, 29090, 16981, 29092, 16983, 29094, 16985, 29096, 16987, 29098, 16989, 29210, 18101, 29212, 18103, 29214, 18105, 29216, 18107, 29218, 18109, 29230, 18121, 29232, 18123, 29234, 18125, 29236, 18127, 29238, 18129, 29250, 18141, 29252, 18143, 29254, 18145, 29256, 18147, 29258, 18149, 29270, 18161, 29272, 18163, 29274, 18165, 29276, 18167, 29278, 18169, 29290, 18181, 29292, 18183, 29294, 18185, 29296, 18187, 29298, 18189, 29410, 18301, 29412, 18303, 29414, 18305, 29416, 18307, 29418, 18309, 29430, 18321, 29432, 18323, 29434, 18325, 29436, 18327, 29438, 18329, 29450, 18341, 29452, 18343, 29454, 18345, 29456, 18347, 29458, 18349, 29470, 18361, 29472, 18363, 29474, 18365, 29476, 18367, 29478, 18369, 29490, 18381, 29492, 18383, 29494, 18385, 29496, 18387, 29498, 18389, 29610, 18501, 29612, 18503, 29614, 18505, 29616, 18507, 29618, 18509, 29630, 18521, 29632, 18523, 29634, 18525, 29636, 18527, 29638, 18529, 29650, 18541, 29652, 18543, 29654, 18545, 29656, 18547, 29658, 18549, 29670, 18561, 29672, 18563, 29674, 18565, 29676, 18567, 29678, 18569, 29690, 18581, 29692, 18583, 29694, 18585, 29696, 18587, 29698, 18589, 29810, 18701, 29812, 18703, 29814, 18705, 29816, 18707, 29818, 18709, 29830, 18721, 29832, 18723, 29834, 18725, 29836, 18727, 29838, 18729, 29850, 18741, 29852, 18743, 29854, 18745, 29856, 18747, 29858, 18749, 29870, 18761, 29872, 18763, 29874, 18765, 29876, 18767, 29878, 18769, 29890, 18781, 29892, 18783, 29894, 18785, 29896, 18787, 29898, 18789, 41010, 18901, 41012, 18903, 41014, 18905, 41016, 18907, 41018, 18909, 41030, 18921, 41032, 18923, 41034, 18925, 41036, 18927, 41038, 18929, 41050, 18941, 41052, 18943, 41054, 18945, 41056, 18947, 41058, 18949, 41070, 18961, 41072, 18963, 41074, 18965, 41076, 18967, 41078, 18969, 41090, 18981, 41092, 18983, 41094, 18985, 41096, 18987, 41098, 18989, 41210, 30101, 41212, 30103, 41214, 30105, 41216, 30107, 41218, 30109, 41230, 30121, 41232, 30123, 41234, 30125, 41236, 30127, 41238, 30129, 41250, 30141, 41252, 30143, 41254, 30145, 41256, 30147, 41258, 30149, 41270, 30161, 41272, 30163, 41274, 30165, 41276, 30167, 41278, 30169, 41290, 30181, 41292, 30183, 41294, 30185, 41296, 30187, 41298, 30189, 41410, 30301, 41412, 30303, 41414, 30305, 41416, 30307, 41418, 30309, 41430, 30321, 41432, 30323, 41434, 30325, 41436, 30327, 41438, 30329, 41450, 30341, 41452, 30343, 41454, 30345, 41456, 30347, 41458, 30349, 41470, 30361, 41472, 30363, 41474, 30365, 41476, 30367, 41478, 30369, 41490, 30381, 41492, 30383, 41494, 30385, 41496, 30387, 41498, 30389, 41610, 30501, 41612, 30503, 41614, 30505, 41616, 30507, 41618, 30509, 41630, 30521, 41632, 30523, 41634, 30525, 41636, 30527, 41638, 30529, 41650, 30541, 41652, 30543, 41654, 30545, 41656, 30547, 41658, 30549, 41670, 30561, 41672, 30563, 41674, 30565, 41676, 30567, 41678, 30569, 41690, 30581, 41692, 30583, 41694, 30585, 41696, 30587, 41698, 30589, 41810, 30701, 41812, 30703, 41814, 30705, 41816, 30707, 41818, 30709, 41830, 30721, 41832, 30723, 41834, 30725, 41836, 30727, 41838, 30729, 41850, 30741, 41852, 30743, 41854, 30745, 41856, 30747, 41858, 30749, 41870, 30761, 41872, 30763, 41874, 30765, 41876, 30767, 41878, 30769, 41890, 30781, 41892, 30783, 41894, 30785, 41896, 30787, 41898, 30789, 43010, 30901, 43012, 30903, 43014, 30905, 43016, 30907, 43018, 30909, 43030, 30921, 43032, 30923, 43034, 30925, 43036, 30927, 43038, 30929, 43050, 30941, 43052, 30943, 43054, 30945, 43056, 30947, 43058, 30949, 43070, 30961, 43072, 30963, 43074, 30965, 43076, 30967, 43078, 30969, 43090, 30981, 43092, 30983, 43094, 30985, 43096, 30987, 43098, 30989, 43210, 32101, 43212, 32103, 43214, 32105, 43216, 32107, 43218, 32109, 43230, 32121, 43232, 32123, 43234, 32125, 43236, 32127, 43238, 32129, 43250, 32141, 43252, 32143, 43254, 32145, 43256, 32147, 43258, 32149, 43270, 32161, 43272, 32163, 43274, 32165, 43276, 32167, 43278, 32169, 43290, 32181, 43292, 32183, 43294, 32185, 43296, 32187, 43298, 32189, 43410, 32301, 43412, 32303, 43414, 32305, 43416, 32307, 43418, 32309, 43430, 32321, 43432, 32323, 43434, 32325, 43436, 32327, 43438, 32329, 43450, 32341, 43452, 32343, 43454, 32345, 43456, 32347, 43458, 32349, 43470, 32361, 43472, 32363, 43474, 32365, 43476, 32367, 43478, 32369, 43490, 32381, 43492, 32383, 43494, 32385, 43496, 32387, 43498, 32389, 43610, 32501, 43612, 32503, 43614, 32505, 43616, 32507, 43618, 32509, 43630, 32521, 43632, 32523, 43634, 32525, 43636, 32527, 43638, 32529, 43650, 32541, 43652, 32543, 43654, 32545, 43656, 32547, 43658, 32549, 43670, 32561, 43672, 32563, 43674, 32565, 43676, 32567, 43678, 32569, 43690, 32581, 43692, 32583, 43694, 32585, 43696, 32587, 43698, 32589, 43810, 32701, 43812, 32703, 43814, 32705, 43816, 32707, 43818, 32709, 43830, 32721, 43832, 32723, 43834, 32725, 43836, 32727, 43838, 32729, 43850, 32741, 43852, 32743, 43854, 32745, 43856, 32747, 43858, 32749, 43870, 32761, 43872, 32763, 43874, 32765, 43876, 32767, 43878, 32769, 43890, 32781, 43892, 32783, 43894, 32785, 43896, 32787, 43898, 32789, 45010, 32901, 45012, 32903, 45014, 32905, 45016, 32907, 45018, 32909, 45030, 32921, 45032, 32923, 45034, 32925, 45036, 32927, 45038, 32929, 45050, 32941, 45052, 32943, 45054, 32945, 45056, 32947, 45058, 32949, 45070, 32961, 45072, 32963, 45074, 32965, 45076, 32967, 45078, 32969, 45090, 32981, 45092, 32983, 45094, 32985, 45096, 32987, 45098, 32989, 45210, 34101, 45212, 34103, 45214, 34105, 45216, 34107, 45218, 34109, 45230, 34121, 45232, 34123, 45234, 34125, 45236, 34127, 45238, 34129, 45250, 34141, 45252, 34143, 45254, 34145, 45256, 34147, 45258, 34149, 45270, 34161, 45272, 34163, 45274, 34165, 45276, 34167, 45278, 34169, 45290, 34181, 45292, 34183, 45294, 34185, 45296, 34187, 45298, 34189, 45410, 34301, 45412, 34303, 45414, 34305, 45416, 34307, 45418, 34309, 45430, 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2301858, 1090749, 2301870, 1090761, 2301872, 1090763, 2301874, 1090765, 2301876, 1090767, 2301878, 1090769, 2301890, 1090781, 2301892, 1090783, 2301894, 1090785, 2301896, 1090787, 2301898, 1090789, 2303010, 1090901, 2303012, 1090903, 2303014, 1090905, 2303016, 1090907, 2303018, 1090909, 2303030, 1090921, 2303032, 1090923, 2303034, 1090925, 2303036, 1090927, 2303038, 1090929, 2303050, 1090941, 2303052, 1090943, 2303054, 1090945, 2303056, 1090947, 2303058, 1090949, 2303070, 1090961, 2303072, 1090963, 2303074, 1090965, 2303076, 1090967, 2303078, 1090969, 2303090, 1090981, 2303092, 1090983, 2303094, 1090985, 2303096, 1090987, 2303098, 1090989, 2303210, 1092101, 2303212, 1092103, 2303214, 1092105, 2303216, 1092107, 2303218, 1092109, 2303230, 1092121, 2303232, 1092123, 2303234, 1092125, 2303236, 1092127, 2303238, 1092129, 2303250, 1092141, 2303252, 1092143, 2303254, 1092145, 2303256, 1092147, 2303258, 1092149, 2303270, 1092161, 2303272, 1092163, 2303274, 1092165, 2303276, 1092167, 2303278, 1092169, 2303290, 1092181, 2303292, 1092183, 2303294, 1092185, 2303296, 1092187, 2303298, 1092189, 2303410, 1092301, 2303412, 1092303, 2303414, 1092305, 2303416, 1092307, 2303418, 1092309, 2303430, 1092321, 2303432, 1092323, 2303434, 1092325, 2303436, 1092327, 2303438, 1092329, 2303450, 1092341, 2303452, 1092343, 2303454, 1092345, 2303456, 1092347, 2303458, 1092349, 2303470, 1092361, 2303472, 1092363, 2303474, 1092365, 2303476, 1092367, 2303478, 1092369, 2303490, 1092381, 2303492, 1092383, 2303494, 1092385, 2303496, 1092387, 2303498, 1092389, 2303610, 1092501, 2303612, 1092503, 2303614, 1092505, 2303616, 1092507, 2303618, 1092509, 2303630, 1092521, 2303632, 1092523, 2303634, 1092525, 2303636, 1092527, 2303638, 1092529, 2303650, 1092541, 2303652, 1092543, 2303654, 1092545, 2303656, 1092547, 2303658, 1092549, 2303670, 1092561, 2303672, 1092563, 2303674, 1092565, 2303676, 1092567, 2303678, 1092569, 2303690, 1092581, 2303692, 1092583, 2303694, 1092585, 2303696, 1092587, 2303698, 1092589, 2303810, 1092701, 2303812, 1092703, 2303814, 1092705, 2303816, 1092707, 2303818, 1092709, 2303830, 1092721, 2303832, 1092723, 2303834, 1092725, 2303836, 1092727, 2303838, 1092729, 2303850, 1092741, 2303852, 1092743, 2303854, 1092745, 2303856, 1092747, 2303858, 1092749, 2303870, 1092761, 2303872, 1092763, 2303874, 1092765, 2303876, 1092767, 2303878, 1092769, 2303890, 1092781, 2303892, 1092783, 2303894, 1092785, 2303896, 1092787, 2303898, 1092789, 2305010, 1092901, 2305012, 1092903, 2305014, 1092905, 2305016, 1092907, 2305018, 1092909, 2305030, 1092921, 2305032, 1092923, 2305034, 1092925, 2305036, 1092927, 2305038, 1092929, 2305050, 1092941, 2305052, 1092943, 2305054, 1092945, 2305056, 1092947, 2305058, 1092949, 2305070, 1092961, 2305072, 1092963, 2305074, 1092965, 2305076, 1092967, 2305078, 1092969, 2305090, 1092981, 2305092, 1092983, 2305094, 1092985, 2305096, 1092987, 2305098, 1092989, 2305210, 1094101, 2305212, 1094103, 2305214, 1094105, 2305216, 1094107, 2305218, 1094109, 2305230, 1094121, 2305232, 1094123, 2305234, 1094125, 2305236, 1094127, 2305238, 1094129, 2305250, 1094141, 2305252, 1094143, 2305254, 1094145, 2305256, 1094147, 2305258, 1094149, 2305270, 1094161, 2305272, 1094163, 2305274, 1094165, 2305276, 1094167, 2305278, 1094169, 2305290, 1094181, 2305292, 1094183, 2305294, 1094185, 2305296, 1094187, 2305298, 1094189, 2305410, 1094301, 2305412, 1094303, 2305414, 1094305, 2305416, 1094307, 2305418, 1094309, 2305430, 1094321, 2305432, 1094323, 2305434, 1094325, 2305436, 1094327, 2305438, 1094329, 2305450, 1094341, 2305452, 1094343, 2305454, 1094345, 2305456, 1094347, 2305458, 1094349, 2305470, 1094361, 2305472, 1094363, 2305474, 1094365, 2305476, 1094367, 2305478, 1094369, 2305490, 1094381, 2305492, 1094383, 2305494, 1094385, 2305496, 1094387, 2305498, 1094389, 2305610, 1094501, 2305612, 1094503, 2305614, 1094505, 2305616, 1094507, 2305618, 1094509, 2305630, 1094521, 2305632, 1094523, 2305634, 1094525, 2305636, 1094527, 2305638, 1094529, 2305650, 1094541, 2305652, 1094543, 2305654, 1094545, 2305656, 1094547, 2305658, 1094549, 2305670, 1094561, 2305672, 1094563, 2305674, 1094565, 2305676, 1094567, 2305678, 1094569, 2305690, 1094581, 2305692, 1094583, 2305694, 1094585, 2305696, 1094587, 2305698, 1094589, 2305810, 1094701, 2305812, 1094703, 2305814, 1094705, 2305816, 1094707, 2305818, 1094709, 2305830, 1094721, 2305832, 1094723, 2305834, 1094725, 2305836, 1094727, 2305838, 1094729, 2305850, 1094741, 2305852, 1094743, 2305854, 1094745, 2305856, 1094747, 2305858, 1094749, 2305870, 1094761, 2305872, 1094763, 2305874, 1094765, 2305876, 1094767, 2305878, 1094769, 2305890, 1094781, 2305892, 1094783, 2305894, 1094785, 2305896, 1094787, 2305898, 1094789, 2307010, 1094901, 2307012, 1094903, 2307014, 1094905, 2307016, 1094907, 2307018, 1094909, 2307030, 1094921, 2307032, 1094923, 2307034, 1094925, 2307036, 1094927, 2307038, 1094929, 2307050, 1094941, 2307052, 1094943, 2307054, 1094945, 2307056, 1094947, 2307058, 1094949, 2307070, 1094961, 2307072, 1094963, 2307074, 1094965, 2307076, 1094967, 2307078, 1094969, 2307090, 1094981, 2307092, 1094983, 2307094, 1094985, 2307096, 1094987, 2307098, 1094989, 2307210, 1096101, 2307212, 1096103, 2307214, 1096105, 2307216, 1096107, 2307218, 1096109, 2307230, 1096121, 2307232, 1096123, 2307234, 1096125, 2307236, 1096127, 2307238, 1096129, 2307250, 1096141, 2307252, 1096143, 2307254, 1096145, 2307256, 1096147, 2307258, 1096149, 2307270, 1096161, 2307272, 1096163, 2307274, 1096165, 2307276, 1096167, 2307278, 1096169, 2307290, 1096181, 2307292, 1096183, 2307294, 1096185, 2307296, 1096187, 2307298, 1096189, 2307410, 1096301, 2307412, 1096303, 2307414, 1096305, 2307416, 1096307, 2307418, 1096309, 2307430, 1096321, 2307432, 1096323, 2307434, 1096325, 2307436, 1096327, 2307438, 1096329, 2307450, 1096341, 2307452, 1096343, 2307454, 1096345, 2307456, 1096347, 2307458, 1096349, 2307470, 1096361, 2307472, 1096363, 2307474, 1096365, 2307476, 1096367, 2307478, 1096369, 2307490, 1096381, 2307492, 1096383, 2307494, 1096385, 2307496, 1096387, 2307498, 1096389, 2307610, 1096501, 2307612, 1096503, 2307614, 1096505, 2307616, 1096507, 2307618, 1096509, 2307630, 1096521, 2307632, 1096523, 2307634, 1096525, 2307636, 1096527, 2307638, 1096529, 2307650, 1096541, 2307652, 1096543, 2307654, 1096545, 2307656, 1096547, 2307658, 1096549, 2307670, 1096561, 2307672, 1096563, 2307674, 1096565, 2307676, 1096567, 2307678, 1096569, 2307690, 1096581, 2307692, 1096583, 2307694, 1096585, 2307696, 1096587, 2307698, 1096589, 2307810, 1096701, 2307812, 1096703, 2307814, 1096705, 2307816, 1096707, 2307818, 1096709, 2307830, 1096721, 2307832, 1096723, 2307834, 1096725, 2307836, 1096727, 2307838, 1096729, 2307850, 1096741, 2307852, 1096743, 2307854, 1096745, 2307856, 1096747, 2307858, 1096749, 2307870, 1096761, 2307872, 1096763, 2307874, 1096765, 2307876, 1096767, 2307878, 1096769, 2307890, 1096781, 2307892, 1096783, 2307894, 1096785, 2307896, 1096787, 2307898, 1096789, 2309010, 1096901, 2309012, 1096903, 2309014, 1096905, 2309016, 1096907, 2309018, 1096909, 2309030, 1096921, 2309032, 1096923, 2309034, 1096925, 2309036, 1096927, 2309038, 1096929, 2309050, 1096941, 2309052, 1096943, 2309054, 1096945, 2309056, 1096947, 2309058, 1096949, 2309070, 1096961, 2309072, 1096963, 2309074, 1096965, 2309076, 1096967, 2309078, 1096969, 2309090, 1096981, 2309092, 1096983, 2309094, 1096985, 2309096, 1096987, 2309098, 1096989, 2309210, 1098101, 2309212, 1098103, 2309214, 1098105, 2309216, 1098107, 2309218, 1098109, 2309230, 1098121, 2309232, 1098123, 2309234, 1098125, 2309236, 1098127, 2309238, 1098129, 2309250, 1098141, 2309252, 1098143, 2309254, 1098145, 2309256, 1098147, 2309258, 1098149, 2309270, 1098161, 2309272, 1098163, 2309274, 1098165, 2309276, 1098167, 2309278, 1098169, 2309290, 1098181, 2309292, 1098183, 2309294, 1098185, 2309296, 1098187, 2309298, 1098189, 2309410, 1098301, 2309412, 1098303, 2309414, 1098305, 2309416, 1098307, 2309418, 1098309, 2309430, 1098321, 2309432, 1098323, 2309434, 1098325, 2309436, 1098327, 2309438, 1098329, 2309450, 1098341, 2309452, 1098343, 2309454, 1098345, 2309456, 1098347, 2309458, 1098349, 2309470, 1098361, 2309472, 1098363, 2309474, 1098365, 2309476, 1098367, 2309478, 1098369, 2309490, 1098381, 2309492, 1098383, 2309494, 1098385, 2309496, 1098387, 2309498, 1098389, 2309610, 1098501, 2309612, 1098503, 2309614, 1098505, 2309616, 1098507, 2309618, 1098509, 2309630, 1098521, 2309632, 1098523, 2309634, 1098525, 2309636, 1098527, 2309638, 1098529, 2309650, 1098541, 2309652, 1098543, 2309654, 1098545, 2309656, 1098547, 2309658, 1098549, 2309670, 1098561, 2309672, 1098563, 2309674, 1098565, 2309676, 1098567, 2309678, 1098569, 2309690, 1098581, 2309692, 1098583, 2309694, 1098585, 2309696, 1098587, 2309698, 1098589, 2309810, 1098701, 2309812, 1098703, 2309814, 1098705, 2309816, 1098707, 2309818, 1098709, 2309830, 1098721, 2309832, 1098723, 2309834, 1098725, 2309836, 1098727, 2309838, 1098729, 2309850, 1098741, 2309852, 1098743, 2309854, 1098745, 2309856, 1098747, 2309858, 1098749, 2309870, 1098761, 2309872, 1098763, 2309874, 1098765, 2309876, 1098767, 2309878, 1098769, 2309890, 1098781, 2309892, 1098783, 2309894, 1098785, 2309896, 1098787, 2309898, 1098789, 2321010, 1098901, 2321012, 1098903, 2321014, 1098905, 2321016, 1098907, 2321018, 1098909, 2321030, 1098921, 2321032, 1098923, 2321034, 1098925, 2321036, 1098927, 2321038, 1098929, 2321050, 1098941, 2321052, 1098943, 2321054, 1098945, 2321056, 1098947, 2321058, 1098949, 2321070, 1098961, 2321072, 1098963, 2321074, 1098965, 2321076, 1098967, 2321078, 1098969, 2321090, 1098981, 2321092, 1098983, 2321094, 1098985, 2321096, 1098987, 2321098, 1098989, 2321210, 1210101, 2321212, 1210103, 2321214, 1210105, 2321216, 1210107, 2321218, 1210109, 2321230, 1210121, 2321232, 1210123, 2321234, 1210125, 2321236, 1210127, 2321238, 1210129, 2321250, 1210141, 2321252, 1210143, 2321254, 1210145, 2321256, 1210147, 2321258, 1210149, 2321270, 1210161, 2321272, 1210163, 2321274, 1210165, 2321276, 1210167, 2321278, 1210169, 2321290, 1210181, 2321292, 1210183, 2321294, 1210185, 2321296, 1210187, 2321298, 1210189, 2321410, 1210301, 2321412, 1210303, 2321414, 1210305, 2321416, 1210307, 2321418, 1210309, 2321430, 1210321, 2321432, 1210323, 2321434, 1210325, 2321436, 1210327, 2321438, 1210329, 2321450, 1210341, 2321452, 1210343, 2321454, 1210345, 2321456, 1210347, 2321458, 1210349, 2321470, 1210361, 2321472, 1210363, 2321474, 1210365, 2321476, 1210367, 2321478, 1210369, 2321490, 1210381, 2321492, 1210383, 2321494, 1210385, 2321496, 1210387, 2321498, 1210389, 2321610, 1210501, 2321612, 1210503, 2321614, 1210505, 2321616, 1210507, 2321618, 1210509, 2321630, 1210521, 2321632, 1210523, 2321634, 1210525, 2321636, 1210527, 2321638, 1210529, 2321650, 1210541, 2321652, 1210543, 2321654, 1210545, 2321656, 1210547, 2321658, 1210549, 2321670, 1210561, 2321672, 1210563, 2321674, 1210565, 2321676, 1210567, 2321678, 1210569, 2321690, 1210581, 2321692, 1210583, 2321694, 1210585, 2321696, 1210587, 2321698, 1210589, 2321810, 1210701, 2321812, 1210703, 2321814, 1210705, 2321816, 1210707, 2321818, 1210709, 2321830, 1210721, 2321832, 1210723, 2321834, 1210725, 2321836, 1210727, 2321838, 1210729, 2321850, 1210741, 2321852, 1210743, 2321854, 1210745, 2321856, 1210747, 2321858, 1210749, 2321870, 1210761, 2321872, 1210763, 2321874, 1210765, 2321876, 1210767, 2321878, 1210769, 2321890, 1210781, 2321892, 1210783, 2321894, 1210785, 2321896, 1210787, 2321898, 1210789, 2323010, 1210901, 2323012, 1210903, 2323014, 1210905, 2323016, 1210907, 2323018, 1210909, 2323030, 1210921, 2323032, 1210923, 2323034, 1210925, 2323036, 1210927, 2323038, 1210929, 2323050, 1210941, 2323052, 1210943, 2323054, 1210945, 2323056, 1210947, 2323058, 1210949, 2323070, 1210961, 2323072, 1210963, 2323074, 1210965, 2323076, 1210967, 2323078, 1210969, 2323090, 1210981, 2323092, 1210983, 2323094, 1210985, 2323096, 1210987, 2323098, 1210989, 2323210, 1212101, 2323212, 1212103, 2323214, 1212105, 2323216, 1212107, 2323218, 1212109, 2323230, ...

__________

Many thanks again, Maximilian and Jean-Marc!

É.

The same idea with non-primes/primes is here.