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A088259 Perfect powers which have at least one prime neighbor. 1
1, 4, 8, 16, 32, 36, 100, 128, 196, 256, 400, 576, 676, 1296, 1600, 2916, 3136, 4356, 5476, 7056, 8100, 8192, 8836, 12100, 13456, 14400, 15376, 15876, 16900, 17956, 21316, 22500, 24336, 25600, 28900, 30976, 32400, 33856, 41616, 42436, 44100 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

If K is a member and K-1 is the neighboring prime then it must be a Merssenne's prime. Conjecture: sequence is infinite.

LINKS

Table of n, a(n) for n=0..40.

CROSSREFS

Cf. A088256, A088257, A088258.

Sequence in context: A304250 A322793 A283052 * A123857 A217313 A101434

Adjacent sequences:  A088256 A088257 A088258 * A088260 A088261 A088262

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Sep 27 2003

EXTENSIONS

Corrected and extended by Ray Chandler, Sep 28 2003

STATUS

approved

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Last modified August 25 04:05 EDT 2019. Contains 326318 sequences. (Running on oeis4.)