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Search: id:A120480
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| A120480 |
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Primes of the form n^5 + n^2 + 1. |
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+0
4
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| 3, 37, 32833, 3200401, 14349637, 52523101, 130692997, 254806273, 459167941, 2706790087, 3486790963, 3939047533, 10510110703, 12762826651, 14025528757, 14693292433, 16850593873, 23863550761, 34359754753, 38579506813
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OFFSET
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1,1
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COMMENT
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The n such that n^5 + n^2 + 1 is prime are: 1, 2, 8, 20, 27, 35, 42, 48, 54, 77, 81, 83, 101, 105, 107, 108, 111, 119, 128, 131. Little is known about primality in quintic forms.
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FORMULA
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a(n) = A000040 INTERSECTION {n^5 + n^2 + 1}.
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EXAMPLE
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a(1) = 3 = 1^5 + 1^2 + 1.
a(2) = 37 = 2^5 + 2^2 + 1.
a(3) = 132833 = 8^5 + 8^2 + 1.
a(4) = 3200401 = 20^5 + 20^2 + 1.
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CROSSREFS
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Cf. A000040.
Adjacent sequences: A120477 A120478 A120479 this_sequence A120481 A120482 A120483
Sequence in context: A113074 A128083 A132931 this_sequence A088098 A119448 A093939
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KEYWORD
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easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost2(AT)yahoo.com), Jul 21 2006
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