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A119987 Primes of the form n^n + n^3 + 1. +0
1
3, 13, 3251, 16777729, 387421219, 11112006825560761, 443426488243037769948249630619149912487, 1075911801979993982060429252856123779115487368830416064665177 (list; graph; listen)
OFFSET

1,1

COMMENT

Cubic analogue to A119448 Primes of the form n^n + n^2 + 1. The n such that n^n + n^2 + 1 is prime are: 1, 2, 5, 8, 9, 14, 27, 38.

FORMULA

a(n) = A000040 INTERSECTION {n^n + n^3 + 1}. a(n) = A000040 INTERSECTION {A000312(n) + A001093(n)}. a(n) = A000040 INTERSECTION {A000312(n) + A000578(n) + 1}.

EXAMPLE

8^8 + 8^3 + 1 = 16777729 is prime.

CROSSREFS

Cf. A000040, A000312, A000578, A001093, A120479, A120480, A119264, A119448.

Sequence in context: A138487 A022507 A108583 this_sequence A127855 A087333 A016104

Adjacent sequences: A119984 A119985 A119986 this_sequence A119988 A119989 A119990

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost2(AT)yahoo.com), Aug 03 2006

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.


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