A355091 Variant of A253028 using only prime numbers.

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

Offset

1,1

Comments

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

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

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

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

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10022

Rémy Sigrist, PARI program

Example

The first terms / rows are:
  n   a(n)  n-th row
  --  ----  ------------------------------------------------------------
   1     2                               2, 3
   2     3                             5, 2, 7
   3     5                         11, 3, 2, 5, 13
   4     2                              17, 19
   5     7                     23, 7, 3, 2, 5, 11, 29
   6    11              31, 13, 7, 3, 2, 2, 3, 5, 11, 17, 37
   7     3                            41, 19, 43
   8     2                              47, 53
   9     5                        59, 23, 13, 29, 61
  10    13          67, 31, 17, 7, 5, 3, 2, 5, 7, 11, 19, 37, 71
  11    17  73, 41, 23, 13, 11, 7, 3, 2, 2, 3, 5, 11, 13, 17, 29, 43, 79

Prog

(PARI) See Links section.

Crossrefs

Cf. A253028, A354576, A354577.

Sequence in context: A224382 A069227 A117368 * A137826 A021429 A262217

Adjacent sequences: A355088 A355089 A355090 * A355092 A355093 A355094

Keyword

nonn,tabf

Author

Rémy Sigrist, Jun 19 2022

Status

approved