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Search: id:A130536
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A130536 Prime numbers arising from A057856. +0
2
3, 5, 7, 41, 11, 13, 113, 17, 19, 2211377674535255285545615254209921, 23, 313, 66977, 29, 31, 149057, 613, 37, 761, 41, 43, 1013, 47, 1201, 1301, 53, 1146097 (list; graph; listen)
OFFSET

1,1

COMMENT

Conjecture: For all pairs of relative prime numbers (x, y) there exists at least one number n=2^m and one prime number p such p=x^n+y^n. This sequence show one case of this conjecture where y=x+1.

EXAMPLE

a(10)=2211377674535255285545615254209921 because A057856810(10)=32 and 2211377674535255285545615254209921 =10^32+11^32= 100000000000000000000000000000000 + 2111377674535255285545615254209921

CROSSREFS

Adjacent sequences: A130533 A130534 A130535 this_sequence A130537 A130538 A130539

Sequence in context: A106115 A087363 A037287 this_sequence A102742 A089044 A117646

KEYWORD

nonn

AUTHOR

Tomas Xordan (xordan.tom(AT)gmail.com), Jun 02 2007

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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