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

1,1

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

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A278494 (MATCHING-POS 1 1 (lambda (n) (and (not (zero? (A010051 n))) (zero? (A278216 n))))))

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.

Sequence in context: A252801 A270617 A045352 * A107426 A222532 A144256

Adjacent sequences: A278491 A278492 A278493 * A278495 A278496 A278497

Keyword

nonn

Author

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

Status

approved