A278494 Primes p for which there does not exist any such integer k that k - A002828(k) = p.

2, 5, 7, 13, 17, 23, 29, 31, 37, 47, 61, 79, 89, 97, 101, 103, 109, 113, 127, 157, 167, 193, 197, 199, 223, 229, 241, 257, 269, 271, 281, 293, 313, 317, 337, 353, 359, 383, 389, 397, 401, 409, 421, 433, 439, 449, 461, 463, 487, 509, 541, 569, 577, 593, 601, 607, 631, 647, 653, 673, 677, 709, 719, 727, 751, 761, 769, 773, 797

Offset: 1

Author

Antti Karttunen, Nov 25 2016, with additional comments Nov 28 2016

Keywords

• nonn

Comments

Primes that are leaves in the tree defined by edge relation parent = A255131(child), "the least squares beanstalk".

Primes p such that (A002828(1+p) <> 1), (A002828(2+p) <> 2), (A002828(3+p) <> 3) and (A002828(4+p) <> 4).

See comments in A278495 which gives the count of these primes in each range [n^2, (n+1)^2].

This is a subsequence of A045352 as no prime of the form 8n+3 ever occurs in this sequence. This stems from a more general fact that A278490 contains no numbers of the form 8n+3, because A002828(8n+7) = 4 for all n. (See A004215.)

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000

Crossrefs

Intersection of A000040 and A278490.

No common terms with A277888, some common terms with A278487.

Subsequence of A045352.

Cf. A002828, A004215, A072401, A255131, A278495, A278496.

Cf. also A263091.