A102636 Skipping from prime to prime by least powers of 2 using 127 as the seed.

127, 131, 139, 1163, 1171, 1187, 1699, 263843, 265891, 269987, 33824419, 33824423, 33824431, 33889967, 33889969, 33890033, 33892081, 33892337, 220855883097298041197912187592864814478435487109452369765200775195469809

Offset

1,1

Comments

By skipping least power of 2, the numbers in sequence A033875 reaches an enormous element at n=22. The next not merged sequence starts from 53 and gets to a big number at n=7 (A102635). Can this sort of sequence with relatively more small primes? The next sequence seeded 127 (this sequence). It gets 19 elements within n<1000.

Links

Table of n, a(n) for n=1..19.

Formula

a(1) = 127, a(n+1) = a(n) + 2^k; a(n+1) prime, k minimal.

Example

127+2^2 = 131 is prime
33892081+2^8 = 33892337 is prime

Crossrefs

Cf. A033875, A102935, A102937.

Sequence in context: A077358 A069686 A077360 * A335314 A075595 A133781

Adjacent sequences: A102633 A102634 A102635 * A102637 A102638 A102639

Keyword

nonn

Author

Lei Zhou, Jan 21 2005

Status

approved