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A206280 Smallest of four consecutive primes whose sum is a square. 9
5, 73, 137, 433, 569, 1217, 5171, 15859, 16631, 32027, 35677, 37619, 39191, 45767, 59029, 63997, 65011, 77813, 92401, 103669, 186601, 196201, 230387, 237161, 261089, 273517, 439559, 463747, 484397, 488573, 505511, 514079, 519803, 538739, 544627, 633599 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..36.

EXAMPLE

a(4) = 433. The next three primes are 439, 443, and 449, and the sum of those four primes = 1764 = 42^2.

MATHEMATICA

Transpose[Select[Partition[Prime[Range[80000]], 4, 1], IntegerQ[Sqrt[ Total[#]]]&]][[1]]

CROSSREFS

Cf. A061275, A206279, A206281.

Sequence in context: A319767 A341670 A138623 * A070526 A070530 A248046

Adjacent sequences: A206277 A206278 A206279 * A206281 A206282 A206283

KEYWORD

nonn,easy

AUTHOR

Harvey P. Dale, Feb 05 2012

STATUS

approved

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Last modified December 6 19:33 EST 2022. Contains 358648 sequences. (Running on oeis4.)