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A109280 Numbers n such that z(n) and z(n+1) are both prime, where z(n) = a^d + b^d + c^d + ..., where a*b*c* ... is the prime factorization of n and d is the largest digit of n. 1
10, 11, 567, 1209, 2034, 3114, 3311, 5243, 5290, 7256, 7436, 9558, 10110, 10111, 13251, 14409, 17536, 20344, 21534, 26411, 26816, 29078, 30232, 34160, 37074, 40022, 44849, 45373, 45815, 50630, 53577, 55555, 56030, 62355, 62463, 65540 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

Conjecture: Sequence is infinite.

EXAMPLE

567 is in the sequence because 567 = 3^4*7 and 3^7+3^7+3^7+3^7+7^7 = 832291,

a prime; and 568 = 2^3*71 and 2^8+2^8+2^8+71^8 = 645753531246529, a prime.

CROSSREFS

Cf. A082813, A109279.

Sequence in context: A041217 A041218 A041917 * A181756 A064841 A064795

Adjacent sequences:  A109277 A109278 A109279 * A109281 A109282 A109283

KEYWORD

base,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 24 2005

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.