Smallest Hitters

(wilsonization)

Hello Seqfans,

if we call "wilsonization" the operation visible here http://oeis.org/A100787, we could indeed wilsonize any integer to produce a (not strictly)increasing sequence.

Take 137, for instance and start a sequence S where the differences "d" between two consecutive terms of S spell, digit by digit, the sequence S itself:

S = 137 138 141 148 149 152 160 161 165 166 ...

d =    1   3   7   1   3   8   1   4   1 ...

We see that 137 "hits" 166 (for instance) – but is 137 the smallest integer hitting 166? No, it is 1 (as one will see following the above link).

What is the sequence of the "smallest hitters" (SH) of the natural numbers?

I guess SH starts:

n = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ...

SH = 1 1 3 1 5 3 7 1 9  5  5  3  3  5  3  1  1 ...

Best,

É.

__________

[Lars Blomberg] :

Hi Eric,

I found the first 1000 values of SH to be

1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 5, 3, 3, 5, 3, 1, 1, 5, 3, 3, 11, 5, 1, 1, 3, 3, 5, 5, 19, 13, 1, 3, 1, 5, 7, 1, 7, 1, 7, 5, 5, 1, 13, 3, 1, 1, 11, 9, 1, 5, 3, 1, 3, 11, 1, 9, 20, 13, 3, 7, 1, 3, 5, 1, 5, 9, 3, 5, 9, 3, 11, 1, 7, 3, 11, 1, 5, 1, 5, 3, 11, 1, 7, 3, 11, 20, 1, 3, 15, 5, 1, 3, 5, 19, 11, 3, 1, 24, 11, 5, 1, 3, 24, 5, 9, 13, 3, 3, 5, 1, 9, 13, 3, 15, 1, 3, 1, 19, 33, 11, 3, 1, 24, 19, 9, 13, 1, 17, 27, 3, 9, 5, 1, 1, 31, 3, 9, 3, 7, 1, 5, 7, 9, 1, 15, 11, 5, 3, 7, 13, 1, 9, 1, 3, 17, 7, 5, 15, 7, 1, 3, 17, 5, 13, 13, 1, 7, 3, 26, 15, 11, 13, 1, 5, 3, 29, 9, 7, 3, 17, 1, 5, 26, 22, 9, 3, 7, 17, 1, 31, 1, 3, 9, 13, 19, 5, 26, 7, 1, 3, 20, 9, 5, 7, 7, 1, 17, 3, 25, 5, 7, 3, 7, 7, 1, 1, 19, 21, 5, 3, 7, 9, 9, 20, 1, 19, 5, 3, 7, 9, 7, 1, 1, 1, 1, 1, 1, 1, 3, 17, 11, 13, 1, 1, 1, 9, 7, 3, 11, 7, 7, 1, 1, 3, 1, 11, 1, 1, 13, 1, 7, 9, 9, 5, 3, 3, 1, 1, 17, 5, 1, 5, 21, 1, 1, 3, 5, 1, 3, 3, 3, 1, 1, 9, 13, 17, 1, 1, 11, 3, 3, 1, 13, 17, 3, 1, 1, 11, 3, 5, 5, 1, 1, 1, 3, 3, 15, 5, 1, 5, 5, 1, 1, 11, 13, 15, 3, 3, 1, 1, 5, 3, 5, 15, 11, 1, 3, 9, 15, 5, 3, 1, 1, 5, 34, 5, 5, 11, 3, 1, 5, 5, 1, 1, 3, 7, 5, 9, 3, 3, 13, 1, 1, 1, 5, 3, 3, 3, 5, 7, 7, 1, 9, 3, 9, 19, 5, 5, 11, 9, 1, 1, 3, 7, 17, 17, 5, 5, 3, 19, 1, 1, 1, 11, 9, 27, 3, 3, 7, 5, 5, 1, 9, 17, 3, 9, 5, 7, 9, 3, 1, 9, 1, 9, 7, 7, 5, 3, 1, 9, 1, 1, 29, 7, 5, 5, 1, 3, 1, 1, 13, 11, 5, 7, 9, 1, 5, 1, 17, 1, 11, 3, 3, 9, 1, 5, 1, 5, 5, 1, 7, 1, 7, 1, 9, 3, 1, 3, 7, 1, 22, 1, 13, 7, 1, 5, 5, 1, 9, 1, 3, 13, 1, 9, 3, 13, 1, 7, 1, 7, 3, 1, 17, 5, 5, 7, 1, 7, 1, 22, 3, 1, 11, 3, 20, 7, 7, 1, 7, 1, 3, 5, 1, 7, 5, 3, 5, 5, 1, 5, 1, 11, 7, 1, 3, 15, 3, 11, 7, 5, 1, 5, 1, 5, 9, 1, 7, 13, 3, 11, 3, 11, 5, 1, 15, 1, 9, 7, 17, 1, 11, 3, 1, 7, 1, 5, 3, 17, 1, 17, 5, 3, 1, 3, 1, 13, 7, 5, 1, 5, 7, 17, 9, 1, 5, 1, 5, 13, 5, 7, 1, 7, 1, 5, 1, 7, 9, 3, 5, 1, 5, 19, 1, 7, 1, 7, 5, 11, 7, 1, 5, 22, 3, 19, 1, 17, 1, 7, 11, 3, 9, 1, 15, 7, 20, 7, 11, 3, 1, 3, 1, 5, 7, 11, 7, 1, 13, 17, 5, 5, 3, 5, 3, 1, 7, 1, 23, 11, 3, 5, 15, 1, 17, 1, 3, 7, 3, 7, 5, 1, 5, 11, 3, 13, 7, 13, 1, 19, 1, 5, 3, 5, 7, 5, 1, 15, 13, 3, 19, 11, 5, 3, 1, 3, 1, 17, 5, 22, 5, 22, 3, 1, 1, 19, 1, 3, 13, 3, 9, 11, 9, 1, 5, 25, 3, 1, 44, 1, 20, 9, 3, 5, 3, 9, 1, 17, 13, 17, 5, 1, 5, 1, 9, 24, 23, 21, 20, 11, 1, 5, 3, 5, 24, 17, 9, 17, 1, 7, 1, 5, 3, 5, 34, 5, 17, 22, 1, 7, 1, 3, 1, 3, 7, 5, 7, 5, 9, 28, 1, 3, 11, 1, 19, 1, 5, 9, 3, 11, 3, 27, 7, 1, 24, 9, 22, 5, 3, 7, 1, 15, 1, 21, 13, 9, 3, 7, 3, 5, 1, 9, 13, 5, 9, 17, 5, 1, 19, 1, 5, 7, 5, 11, 9, 5, 11, 1, 3, 3, 5, 3, 17, 5, 9, 1, 21, 1, 11, 5, 3, 9, 3, 17, 3, 11, 1, 9, 1, 20, 1, 15, 21, 3, 5, 7, 13, 5, 3, 1, 3, 7, 5, 5, 7, 1, 5, 1, 15, 3, 20, 5, 7, 19, 3, 11, 1, 5, 7, 13, 5, 7, 5, 1, 19, 3, 1, 7, 1, 15, 13, 1, 24, 3, 1, 9, 15, 1, 5, 13, 15, 1, 3, 9, 1, 9, 7, 11, 5, 7, 11, 3, 13, 1, 3, 15, 1, 1, 11, 1, 5, 11, 1, 1, 20, 7, 1, 9, 3, 1, 1, 3, 13, 5, 7, 9, 5, 7, 9, 1, 3, 5, 1, 1, 3, 11, 7, 19, 5, 7, 5, 3, 1, 5, 3, 1, 31, 1, 11, 7, 1, 11, 1, 3, 25, 13, 3, 5, 1, 11, 3, 1, 9, 3, 1, 3, 1, 5, 15, 1, 9, 3, 1, 30, 3, 1, 3, 7, 1, 5, 13, 9, 1, 3, 5, 1, 3, 13, 28, 1, 3, 9, 1, 3, 9, 1, 3, 5, 26, 1, 17, 9, 7, 1, 13, 3, 1, 13, 3, 5, 7, 1, 3, 1, 19, 3, 1, 19, 9, 3, 7, 1, 5, 7, 1, 5, 7, 1, 13, 22, 15, 3, 1, 7, 11, 9, 1, 7, 19, 1, 3, 11, ...

In histogram form:

1  259

3  173

5  155

7  104

9  75

11  56

13  44

15  23

17  32

19  22

20  11

21  6

22  9

23  2

24  7

25  3

26  4

27  3

28  2

29  2

30  1

31  3

33  1

34  2

44  1

[Maximilian Hasler] :

>  n = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ...

> SH = 1 1 3 1 5 3 7 1 9  5  5  3  3  5  3  1  1 ...

I confirm these values and get

vector(150,n,SH(n))

= [1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 5, 3, 3, 5, 3, 1, 1, 5, 3, 3, 11, 5, 1, 1, 3, 3, 5, 5, 19, 13, 1, 3, 1, 5, 7, 1, 7, 1, 7, 5, 5, 1, 13, 3, 1, 1, 11, 9, 1, 5, 3, 1, 3, 11, 1, 9, 20, 13, 3, 7, 1, 3, 5, 1, 5, 9, 3, 5, 9, 3, 11, 1, 7, 3, 11, 1, 5, 1, 5, 3, 11, 1, 7, 3, 11, 20, 1, 3, 15, 5, 1, 3, 5, 19, 11, 3, 1, 24, 11, 5, 1, 3, 24, 5, 9, 13, 3, 3, 5, 1, 9, 13, 3, 15, 1, 3, 1, 19, 33, 11, 3, 1, 24, 19, 9, 13, 1, 17, 27, 3, 9, 5, 1, 1, 31, 3, 9, 3, 7, 1, 5, 7, 9, 1, 15, 11, 5, 3, 7, 13]

(PARI)

SH(n)={ for(k=1,n, my(seed=k,d=digits(seed));

while(seed<n,seed+=d[1];d=vecextract(concat(d,digits(seed)),"^1"));seed==n&return(k))}

I proposed this as https://oeis.org/draft/A211206

[Jean-Marc Falcoz]:

J’ai regardé ce que ça donnait jusqu’à 10000 ; tous les entiers ne sont pas des smallest hitters (par exemple, pour 2, c’est facile à expliquer, mais pour d’autres, ce n’est pas évident...)

Pour les 10000 premiers termes (cf. plus bas), les termes sont tous parmi {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 42, 43, 44, 45, 48, 49, 50} ; il manque donc {2, 4, 6, 8, 10, 12, 14, 16, 18, 41, 46, 47}

{1, 1, 3, 1, 5, 3, 7, 1, 9, 5, 5, 3, 3, 5, 3, 1, 1, 5, 3, 3, 11, 5, 1, 1, 3, 3, 5, 5, 19, 13, 1, 3, 1, 5, 7, 1, 7, 1, 7, 5, 5, 1, 13, 3, 1, 1, 11, 9, 1, 5, 3, 1, 3, 11, 1, 9, 20, 13, 3, 7, 1, 3, 5, 1, 5, 9, 3, 5, 9, 3, 11, 1, 7, 3, 11, 1, 5, 1, 5, 3, 11, 1, 7, 3, 11, 20, 1, 3, 15, 5, 1, 3, 5, 19, 11, 3, 1, 24, 11, 5, 1, 3, 24, 5, 9, 13, 3, 3, 5, 1, 9, 13, 3, 15, 1, 3, 1, 19, 33, 11, 3, 1, 24, 19, 9, 13, 1, 17, 27, 3, 9, 5, 1, 1, 31, 3, 9, 3, 7, 1, 5, 7, 9, 1, 15, 11, 5, 3, 7, 13, 1, 9, 1, 3, 17, 7, 5, 15, 7, 1, 3, 17, 5, 13, 13, 1, 7, 3, 26, 15, 11, 13, 1, 5, 3, 29, 9, 7, 3, 17, 1, 5, 26, 22, 9, 3, 7, 17, 1, 31, 1, 3, 9, 13, 19, 5, 26, 7, 1, 3, 20, 9, 5, 7, 7, 1, 17, 3, 25, 5, 7, 3, 7, 7, 1, 1, 19, 21, 5, 3, 7, 9, 9, 20, 1, 19, 5, 3, 7, 9, 7, 1, 1, 1, 1, 1, 1, 1, 3, 17, 11, 13, 1, 1, 1, 9, 7, 3, 11, 7, 7, 1, 1, 3, 1, 11, 1, 1, 13, 1, 7, 9, 9, 5, 3, 3, 1, 1, 17, 5, 1, 5, 21, 1, 1, 3, 5, 1, 3, 3, 3, 1, 1, 9, 13, 17, 1, 1, 11, 3, 3, 1, 13, 17, 3, 1, 1, 11, 3, 5, 5, 1, 1, 1, 3, 3, 15, 5, 1, 5, 5, 1, 1, 11, 13, 15, 3, 3, 1, 1, 5, 3, 5, 15, 11, 1, 3, 9, 15, 5, 3, 1, 1, 5, 34, 5, 5, 11, 3, 1, 5, 5, 1, 1, 3, 7, 5, 9, 3, 3, 13, 1, 1, 1, 5, 3, 3, 3, 5, 7, 7, 1, 9, 3, 9, 19, 5, 5, 11, 9, 1, 1, 3, 7, 17, 17, 5, 5, 3, 19, 1, 1, 1, 11, 9, 27, 3, 3, 7, 5, 5, 1, 9, 17, 3, 9, 5, 7, 9, 3, 1, 9, 1, 9, 7, 7, 5, 3, 1, 9, 1, 1, 29, 7, 5, 5, 1, 3, 1, 1, 13, 11, 5, 7, 9, 1, 5, 1, 17, 1, 11, 3, 3, 9, 1, 5, 1, 5, 5, 1, 7, 1, 7, 1, 9, 3, 1, 3, 7, 1, 22, 1, 13, 7, 1, 5, 5, 1, 9, 1, 3, 13, 1, 9, 3, 13, 1, 7, 1, 7, 3, 1, 17, 5, 5, 7, 1, 7, 1, 22, 3, 1, 11, 3, 20, 7, 7, 1, 7, 1, 3, 5, 1, 7, 5, 3, 5, 5, 1, 5, 1, 11, 7, 1, 3, 15, 3, 11, 7, 5, 1, 5, 1, 5, 9, 1, 7, 13, 3, 11, 3, 11, 5, 1, 15, 1, 9, 7, 17, 1, 11, 3, 1, 7, 1, 5, 3, 17, 1, 17, 5, 3, 1, 3, 1, 13, 7, 5, 1, 5, 7, 17, 9, 1, 5, 1, 5, 13, 5, 7, 1, 7, 1, 5, 1, 7, 9, 3, 5, 1, 5, 19, 1, 7, 1, 7, 5, 11, 7, 1, 5, 22, 3, 19, 1, 17, 1, 7, 11, 3, 9, 1, 15, 7, 20, 7, 11, 3, 1, 3, 1, 5, 7, 11, 7, 1, 13, 17, 5, 5, 3, 5, 3, 1, 7, 1, 23, 11, 3, 5, 15, 1, 17, 1, 3, 7, 3, 7, 5, 1, 5, 11, 3, 13, 7, 13, 1, 19, 1, 5, 3, 5, 7, 5, 1, 15, 13, 3, 19, 11, 5, 3, 1, 3, 1, 17, 5, 22, 5, 22, 3, 1, 1, 19, 1, 3, 13, 3, 9, 11, 9, 1, 5, 25, 3, 1, 44, 1, 20, 9, 3, 5, 3, 9, 1, 17, 13, 17, 5, 1, 5, 1, 9, 24, 23, 21, 20, 11, 1, 5, 3, 5, 24, 17, 9, 17, 1, 7, 1, 5, 3, 5, 34, 5, 17, 22, 1, 7, 1, 3, 1, 3, 7, 5, 7, 5, 9, 28, 1, 3, 11, 1, 19, 1, 5, 9, 3, 11, 3, 27, 7, 1, 24, 9, 22, 5, 3, 7, 1, 15, 1, 21, 13, 9, 3, 7, 3, 5, 1, 9, 13, 5, 9, 17, 5, 1, 19, 1, 5, 7, 5, 11, 9, 5, 11, 1, 3, 3, 5, 3, 17, 5, 9, 1, 21, 1, 11, 5, 3, 9, 3, 17, 3, 11, 1, 9, 1, 20, 1, 15, 21, 3, 5, 7, 13, 5, 3, 1, 3, 7, 5, 5, 7, 1, 5, 1, 15, 3, 20, 5, 7, 19, 3, 11, 1, 5, 7, 13, 5, 7, 5, 1, 19, 3, 1, 7, 1, 15, 13, 1, 24, 3, 1, 9, 15, 1, 5, 13, 15, 1, 3, 9, 1, 9, 7, 11, 5, 7, 11, 3, 13, 1, 3, 15, 1, 1, 11, 1, 5, 11, 1, 1, 20, 7, 1, 9, 3, 1, 1, 3, 13, 5, 7, 9, 5, 7, 9, 1, 3, 5, 1, 1, 3, 11, 7, 19, 5, 7, 5, 3, 1, 5, 3, 1, 31, 1, 11, 7, 1, 11, 1, 3, 25, 13, 3, 5, 1, 11, 3, 1, 9, 3, 1, 3, 1, 5, 15, 1, 9, 3, 1, 30, 3, 1, 3, 7, 1, 5, 13, 9, 1, 3, 5, 1, 3, 13, 28, 1, 3, 9, 1, 3, 9, 1, 3, 5, 26, 1, 17, 9, 7, 1, 13, 3, 1, 13, 3, 5, 7, 1, 3, 1, 19, 3, 1, 19, 9, 3, 7, 1, 5, 7, 1, 5, 7, 1, 13, 22, 15, 3, 1, 7, 11, 9, 1, 7, 19, 1, 3, 11, 5, 3, 13, 1, 11, 1, 3, 5, 1, 3, 5, 11, 9, 5, 3, 1, 1, 11, 7, 1, 3, 17, 13, 3, 11, 17, 1, 5, 1, 15, 5, 1, 17, 21, 11, 3, 17, 5, 3, 1, 1, 13, 7, 1, 9, 5, 23, 9, 5, 17, 15, 1, 15, 1, 3, 9, 1, 20, 13, 5, 3, 20, 5, 7, 1, 9, 19, 1, 7, 19, 1, 5, 7, 9, 3, 15, 3, 13, 7, 1, 9, 1, 7, 5, 5, 1, 1, 5, 19, 3, 1, 7, 3, 1, 20, 9, 5, 1, 9, 3, 1, 15, 7, 5, 1, 11, 7, 5, 3, 23, 7, 3, 5, 1, 17, 9, 5, 1, 1, 1, 7, 20, 13, 1, 1, 7, 1, 5, 5, 3, 1, 1, 13, 5, 11, 13, 7, 3, 1, 17, 7, 26, 1, 1, 5, 3, 27, 7, 3, 9, 5, 7, 1, 5, 11, 7, 1, 3, 1, 5, 19, 9, 1, 11, 1, 26, 3, 15, 11, 19, 1, 3, 5, 13, 1, 3, 1, 13, 9, 7, 5, 15, 11, 3, 1, 11, 20, 3, 1, 11, 13, 1, 9, 5, 17, 1, 7, 5, 1, 3, 3, 9, 11, 1, 17, 7, 13, 1, 3, 7, 1, 20, 3, 7, 3, 5, 15, 1, 7, 9, 3, 1, 13, 11, 3, 1, 13, 3, 5, 1, 9, 11, 5, 1, 9, 1, 3, 15, 37, 1, 13, 21, 9, 1, 17, 15, 9, 1, 5, 3, 7, 1, 15, 3, 5, 1, 15, 3, 5, 9, 7, 3, 1, 5, 9, 3, 1, 7, 9, 3, 5, 1, 13, 7, 5, 1, 7, 11, 15, 3, 1, 9, 1, 3, 19, 5, 1, 9, 11, 3, 15, 1, 11, 3, 7, 22, 1, 3, 7, 11, 1, 19, 13, 3, 5, 1, 27, 3, 20, 7, 23, 3, 17, 1, 9, 19, 5, 1, 20, 3, 5, 15, 13, 1, 9, 11, 11, 1, 5, 13, 11, 20, 5, 1, 19, 3, 1, 7, 11, 3, 1, 15, 13, 3, 7, 5, 1, 9, 24, 5, 35, 3, 7, 1, 13, 3, 7, 1, 5, 11, 3, 9, 13, 1, 3, 15, 9, 13, 11, 3, 9, 7, 1, 3, 9, 5, 1, 15, 3, 5, 11, 9, 11, 1, 13, 1, 3, 7, 5, 1, 3, 7, 20, 5, 11, 32, 1, 5, 9, 7, 3, 13, 9, 1, 11, 7, 3, 1, 29, 7, 13, 3, 19, 5, 1, 9, 11, 3, 15, 13, 3, 38, 23, 1, 3, 15, 5, 1, 7, 11, 3, 17, 15, 13, 5, 1, 7, 1, 5, 3, 33, 1, 11, 7, 9, 3, 31, 5, 9, 1, 11, 13, 3, 9, 23, 5, 3, 1, 21, 21, 5, 1, 3, 19, 7, 5, 5, 13, 7, 3, 1, 5, 5, 3, 1, 13, 19, 5, 5, 3, 5, 7, 11, 1, 15, 5, 1, 9, 3, 20, 1, 7, 3, 15, 11, 5, 28, 5, 5, 1, 3, 13, 9, 5, 3, 5, 9, 7, 1, 17, 11, 3, 9, 1, 1, 5, 25, 26, 13, 1, 3, 5, 11, 1, 3, 20, 5, 11, 1, 1, 1, 11, 3, 3, 5, 1, 1, 3, 20, 1, 15, 9, 19, 7, 1, 1, 15, 5, 19, 3, 28, 1, 17, 3, 19, 13, 1, 21, 1, 20, 15, 5, 1, 3, 7, 37, 9, 1, 7, 1, 5, 13, 11, 9, 21, 1, 3, 7, 27, 3, 1, 28, 9, 1, 19, 5, 7, 15, 1, 5, 20, 1, 3, 17, 1, 15, 20, 7, 3, 1, 7, 15, 1, 3, 30, 7, 11, 1, 3, 7, 9, 5, 1, 3, 7, 1, 5, 11, 13, 26, 3, 5, 19, 29, 1, 3, 3, 3, 9, 1, 29, 5, 3, 1, 15, 7, 1, 9, 11, 15, 7, 1, 3, 11, 23, 1, 5, 3, 21, 3, 1, 7, 24, 5, 13, 1, 7, 3, 5, 1, 21, 11, 19, 3, 23, 20, 13, 15, 1, 7, 13, 3, 5, 1, 19, 9, 3, 5, 1, 3, 9, 3, 1, 5, 19, 9, 3, 1, 13, 3, 15, 20, 1, 27, 7, 13, 3, 11, 1, 9, 9, 3, 15, 1, 7, 3, 9, 3, 22, 1, 1, 22, 3, 30, 11, 1, 3, 7, 13, 5, 3, 1, 35, 13, 1, 3, 13, 9, 7, 1, 7, 21, 5, 20, 11, 1, 17, 9, 3, 5, 1, 20, 7, 3, 5, 1, 13, 7, 3, 9, 7, 15, 1, 5, 28, 7, 9, 1, 5, 17, 7, 9, 3, 7, 1, 20, 5, 1, 3, 5, 7, 19, 1, 3, 5, 7, 23, 13, 7, 1, 3, 11, 11, 5, 1, 3, 23, 7, 5, 1, 13, 3, 7, 20, 11, 11, 7, 1, 13, 3, 9, 20, 1, 7, 3, 17, 15, 21, 7, 9, 1, 3, 7, 5, 17, 1, 3, 21, 5, 24, 1, 7, 9, 3, 28, 11, 7, 5, 1, 17, 23, 7, 7, 3, 11, 1, 5, 7, 13, 21, 1, 3, 5, 7, 3, 9, 11, 23, 5, 1, 5, 1, 11, 15, 7, 9, 1, 3, 17, 19, 25, 7, 3, 20, 17, 1, 9, 3, 11, 22, 17, 5, 5, 21, 1, 15, 3, 7, 5, 5, 1, 1, 9, 7, 26, 11, 24, 1, 5, 7, 3, 13, 24, 1, 7, 9, 13, 5, 3, 1, 1, 39, 32, 5, 1, 5, 15, 9, 7, 13, 1, 1, 11, 5, 13, 5, 3, 1, 11, 15, 7, 5, 3, 1, 3, 1, 7, 1, 15, 13, 3, 3, 5, 1, 3, 1, 17, 1, 5, 15, 3, 3, 5, 1, 28, 1, 11, 9, 5, 1, 3, 5, 11, 17, 5, 1, 3, 13, 1, 13, 5, 9, 19, 3, 1, 13, 11, 1, 30, 3, 5, 3, 9, 27, 1, 22, 5, 9, 3, 13, 1, 7, 5, 1, 3, 9, 5, 3, 30, 7, 3, 13, 1, 23, 19, 9, 3, 7, 1, 3, 13, 5, 1, 28, 9, 7, 11, 1, 3, 26, 7, 17, 13, 1, 3, 7, 23, 17, 1, 3, 5, 1, 17, 7, 13, 3, 5, 1, 9, 3, 13, 5, 1, 21, 15, 19, 7, 1, 13, 31, 5, 19, 21, 1, 13, 7, 5, 13, 3, 1, 3, 1, 5, 20, 7, 11, 3, 1, 5, 20, 17, 3, 11, 1, 5, 3, 1, 9, 13, 7, 15, 3, 1, 9, 5, 7, 23, 3, 1, 17, 5, 7, 15, 1, 3, 11, 21, 5, 15, 1, 3, 9, 5, 20, 11, 7, 1, 9, 1, 13, 19, 7, 3, 9, 1, 9, 5, 27, 3, 19, 7, 1, 15, 9, 5, 19, 3, 1, 26, 9, 7, 11, 3, 1, 21, 23, 7, 7, 11, 3, 1, 5, 7, 9, 3, 11, 15, 5, 1, 7, 3, 13, 11, 15, 1, 11, 5, 5, 3, 3, 9, 17, 1, 5, 7, 3, 7, 1, 21, 11, 15, 9, 5, 1, 13, 25, 3, 11, 7, 9, 7, 5, 1, 13, 11, 9, 19, 23, 1, 11, 9, 3, 36, 19, 7, 5, 11, 1, 20, 1, 7, 13, 11, 9, 5, 1, 3, 13, 9, 7, 17, 31, 5, 5, 1, 3, 34, 9, 7, 17, 13, 7, 3, 1, 11, 20, 7, 5, 11, 9, 1, 23, 7, 22, 5, 11, 5, 1, 5, 3, 21, 13, 7, 9, 1, 5, 3, 5, 32, 9, 28, 5, 23, 1, 11, 3, 15, 7, 5, 17, 1, 1, 3, 3, 3, 19, 5, 11, 1, 23, 7, 3, 3, 5, 11, 1, 1, 21, 7, 11, 19, 3, 33, 11, 7, 1, 9, 13, 3, 7, 3, 5, 1, 25, 1, 1, 5, 3, 17, 3, 9, 3, 1, 5, 1, 26, 5, 11, 3, 13, 20, 3, 7, 1, 21, 22, 9, 7, 3, 20, 1, 3, 13, 1, 5, 1, 7, 19, 3, 21, 5, 13, 1, 20, 11, 1, 11, 5, 3, 1, 20, 5, 15, 11, 7, 9, 1, 3, 5, 11, 1, 21, 1, 24, 3, 5, 7, 13, 3, 1, 25, 22, 17, 1, 7, 3, 9, 19, 5, 13, 7, 9, 1, 25, 19, 5, 13, 3, 9, 1, 5, 17, 3, 13, 1, 1, 7, 9, 5, 3, 13, 13, 1, 17, 3, 5, 19, 1, 15, 22, 5, 3, 13, 19, 9, 9, 1, 9, 3, 5, 19, 13, 7, 1, 3, 9, 5, 19, 7, 1, 3, 21, 5, 19, 5, 1, 7, 3, 24, 9, 19, 5, 1, 3, 28, 7, 11, 5, 1, 3, 9, 7, 17, 13, 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Many thanks Lars, Maximilian and Jean-Marc, this is now https://oeis.org/A211206

Best,

É.