A337924 Odd numbers, x, such that for all primes (p,q) such that x = p + 2q, x + 2p and x + 2q are composite.

1, 3, 5, 59, 151

Offset

1,2

Comments

The sequence is conjectured to be finite and full in A046927. The conjecture holds through 10^9.

Links

Table of n, a(n) for n=1..5.

Example

For 59, (p,q) can be (13,23), (37,11), and (53,3).  59 + 2 * 13, 59 + 2 * 23, ... 59 + 2 * 3 are all composite, so 59 is in the sequence.

Crossrefs

Cf. A046927.

Sequence in context: A248923 A155121 A106914 * A049190 A174920 A158314

Adjacent sequences: A337921 A337922 A337923 * A337925 A337926 A337927

Keyword

nonn,more

Author

Jud McCranie, Oct 09 2020

Status

approved