

A033875


Skipping from prime to prime by least powers of 2.


6



2, 3, 5, 7, 11, 13, 17, 19, 23, 31, 47, 79, 83, 211, 227, 229, 233, 241, 257, 769, 773
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OFFSET

1,1


COMMENTS

Is this sequence infinite?  Charles R Greathouse IV, Jan 24 2017


LINKS

Zak Seidov, Table of n, a(n) for n = 1..23


FORMULA

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


EXAMPLE

2+2^0=3,
3+2^1=5,
a(22)=a(21)+2^955,
a(23)=a(22)+2^468.


MATHEMATICA

NestList[(k = 0; While[! PrimeQ[q = # + 2^k], k++]; q) &, 2, 20] (* Zak Seidov, Jan 24 2017 *)


CROSSREFS

Cf. A139803 (corresponding powers of 2).
Sequence in context: A229060 A219528 A046501 * A105581 A258433 A262363
Adjacent sequences: A033872 A033873 A033874 * A033876 A033877 A033878


KEYWORD

nonn


AUTHOR

David W. Wilson


STATUS

approved



