A386364 Irregular triangle read by rows. The prime numbers corresponding to the distinct prime chains in A385871. Also a permutation of the primes.

2, 3, 7, 5, 11, 23, 13, 17, 19, 37, 29, 53, 31, 41, 73, 43, 47, 83, 137, 59, 61, 67, 71, 79, 131, 89, 97, 157, 101, 163, 103, 167, 107, 173, 109, 113, 127, 139, 149, 233, 353, 151, 179, 277, 181, 281, 421, 613, 191, 193, 197, 199, 211, 223, 337, 227, 229, 239, 241, 251, 257, 263, 269, 271

Offset

1,1

Comments

See A385871 for the full definition for this sequence.

A permutation of the prime numbers.

Links

Table of n, a(n) for n=1..64.

Example

The irregular triangle begins:
  2,  3,  7;
  5, 11, 23;
 13;
 17;
 19, 37;
 29, 53;
 31;
 41, 73;
 ...

Prog

(PARI) f(n) = my(m=1, x); while((x=(prime(n) + 2*(n - 1) + m - prime(n + m)))>= 0, if (x==0, return(m+n)); m++); \\ A385871
lista(nn) = my(list = List(), vp=vector(nn)); for (n=1, nn, if (!vp[n], my(v=Vec(prime(n)), m=n); vp[n] = 1; while(m = f(m), v=concat(v, prime(m)); if (m<=nn, vp[m]=1)); listput(list, v); ); ); Vec(list); \\ Michel Marcus, Jul 19 2025

Crossrefs

Cf. A000040, A385871.

Sequence in context: A139317 A117928 A387076 * A333086 A359504 A064011

Adjacent sequences: A386361 A386362 A386363 * A386365 A386366 A386367

Keyword

nonn,tabf

Author

Tamas Sandor Nagy, Jul 19 2025

Extensions

More terms from Michel Marcus, Jul 19 2025

Status

approved