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A108703 Numbers n such that a^s + b^s + c^s + ... is prime, where a*b*c* ... is the prime factorization of n, and s is the digital sum of n. +0
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10, 12, 22, 26, 40, 54, 99, 104, 117, 153, 178, 184, 210, 300, 350, 358, 368, 416, 424, 448, 464, 466, 500, 549, 603, 651, 810, 1020, 1100, 1116, 1143, 1190, 1380, 1528, 1629, 1726, 1816, 1860, 1926, 1952, 2001, 2097, 2220, 2400, 2439, 2523, 2536, 2613 (list; graph; listen)
OFFSET

1,1

COMMENT

959949 generates a prime with 227 digits: 3^45 + 3^45 + 106661^45.

EXAMPLE

26 is in the sequence because 26 = 2*13 and 2^(2+6) + 13^(2+6) = 815730977, a prime.

CROSSREFS

Cf. A082813, A007953.

Sequence in context: A108965 A061870 A120001 this_sequence A098785 A022324 A084953

Adjacent sequences: A108700 A108701 A108702 this_sequence A108704 A108705 A108706

KEYWORD

base,easy,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 20 2005

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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