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A109279 Numbers n such that a^d + b^d + c^d + ... is prime, where a*b*c* ... is the prime factorization of n and d is the largest digit of n. 1
10, 11, 12, 14, 34, 40, 54, 56, 63, 101, 142, 176, 184, 232, 245, 279, 296, 300, 320, 325, 333, 376, 384, 432, 475, 500, 504, 561, 567, 568, 595, 640, 651, 657, 664, 714, 768, 778, 780, 792, 796, 824, 864, 867, 972, 1001, 1016, 1020, 1042, 1048, 1110, 1112 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

1118092 generates a 50 digit prime: 2^9 + 2^9 + 279523^9.

LINKS

Table of n, a(n) for n=1..52.

EXAMPLE

34 is in the sequence because 34=2*17 and 2^4 + 17^4 = 83537, a prime.

CROSSREFS

Cf. A082813, A109280.

Sequence in context: A323190 A046431 A108697 * A258744 A219251 A154770

Adjacent sequences:  A109276 A109277 A109278 * A109280 A109281 A109282

KEYWORD

base,easy,nonn

AUTHOR

Jason Earls, Jun 24 2005

STATUS

approved

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Last modified July 28 03:38 EDT 2021. Contains 346316 sequences. (Running on oeis4.)