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A211673 Least prime number prime(k) such that prime(n+k) - prime(k) is a power of 2. 3
2, 3, 3, 13, 7, 3, 47, 29, 5, 199, 109, 73, 67, 37, 19, 7, 3, 659, 443, 281, 239, 179, 113, 83, 7027, 53, 23, 4261, 11, 3, 1621, 1153, 1117, 1021, 1033, 673, 727, 463, 313, 307, 397, 24281, 163, 211, 103, 97, 13781, 61, 16007, 37, 13, 7, 6899, 6947, 7577, 4271 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

EXAMPLE

For n = 4, we have prime(10) - prime(6) = 2^4.

For n = 5, we have prime(9)  - prime(4) = 2^4.

MATHEMATICA

Table[k = 1; While[!IntegerQ[Log[2, Prime[n+k] - Prime[k]]], k++]; Prime[k], {n, 100}]

CROSSREFS

Cf. A211674, A211675.

Sequence in context: A196837 A275212 A127003 * A184178 A039793 A106243

Adjacent sequences:  A211670 A211671 A211672 * A211674 A211675 A211676

KEYWORD

nonn

AUTHOR

T. D. Noe, Apr 23 2012

STATUS

approved

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Last modified November 30 03:40 EST 2021. Contains 349416 sequences. (Running on oeis4.)