A355091 - OEIS

%I #10 Jun 26 2022 09:15:10

%S 2,3,5,2,7,11,3,2,5,13,17,19,23,7,3,2,5,11,29,31,13,7,3,2,2,3,5,11,17,

%T 37,41,19,43,47,53,59,23,13,29,61,67,31,17,7,5,3,2,5,7,11,19,37,71,73,

%U 41,23,13,11,7,3,2,2,3,5,11,13,17,29,43,79

%N Variant of A253028 using only prime numbers.

%C See the examples in A253028 for a detailed illustration of how the array is constructed:

%C - the n-th term gives the length of the n-th row.

%C - if you remove the eventual leading and trailing term in each row, you get the prime numbers, in natural order,

%C - repeating this procedure with the remaining terms always yields the prime numbers, in natural order.

%H Rémy Sigrist, <a href="/A355091/b355091.txt">Table of n, a(n) for n = 1..10022</a>

%H Rémy Sigrist, <a href="/A355091/a355091.gp.txt">PARI program</a>

%e The first terms / rows are:

%e   n   a(n)  n-th row

%e   --  ----  ------------------------------------------------------------

%e    1     2                               2, 3

%e    2     3                             5, 2, 7

%e    3     5                         11, 3, 2, 5, 13

%e    4     2                              17, 19

%e    5     7                     23, 7, 3, 2, 5, 11, 29

%e    6    11              31, 13, 7, 3, 2, 2, 3, 5, 11, 17, 37

%e    7     3                            41, 19, 43

%e    8     2                              47, 53

%e    9     5                        59, 23, 13, 29, 61

%e   10    13          67, 31, 17, 7, 5, 3, 2, 5, 7, 11, 19, 37, 71

%e   11    17  73, 41, 23, 13, 11, 7, 3, 2, 2, 3, 5, 11, 13, 17, 29, 43, 79

%o (PARI) See Links section.

%Y Cf. A253028, A354576, A354577.

%K nonn,tabf

%O 1,1

%A _Rémy Sigrist_, Jun 19 2022