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A133322 Centered square numbers that are prime powers of the form (4n+1)^k. 0
5, 13, 25, 41, 61, 113, 181, 313, 421, 613, 761, 841, 1013, 1201, 1301, 1741, 1861, 2113, 2381, 2521, 3121, 3613, 4513, 5101, 7321, 8581, 9661, 9941, 10513, 12641, 13613, 14281, 14621, 15313, 16381, 19013, 19801, 20201, 21013, 21841, 23981 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

MATHEMATICA

a = {}; For[i = 1, i < 140, i++, k = 1; b = (2*i*(i + 1) + 1); While[b^(1/k) > 4, If[PrimeQ[b^(1/k)], If[Mod[b^(1/k), 4] == 1, AppendTo[a, b]]]; k++ ]]; a - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 21 2007

CROSSREFS

Subsequence of A001844 and A120960.

Sequence in context: A096891 A001844 A099776 * A146590 A098483 A147205

Adjacent sequences:  A133319 A133320 A133321 * A133323 A133324 A133325

KEYWORD

nonn

AUTHOR

Mats Granvik (mgranvik(AT)abo.fi), Oct 18 2007, Oct 19 2007

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Oct 21 2007

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Last modified February 17 04:58 EST 2012. Contains 205985 sequences.