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A046431 Sum of digits of a(n) raised to its digits powers is prime. 10
10, 11, 12, 14, 20, 21, 23, 27, 32, 34, 40, 41, 43, 47, 72, 74, 100, 101, 103, 110, 111, 113, 130, 131, 157, 175, 236, 263, 289, 298, 300, 301, 310, 311, 326, 348, 355, 362, 384, 438, 445, 454, 458, 483, 485, 507, 517, 535, 544, 548, 553, 570, 571, 584, 623 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

a(n)=10 -> 1^1+0^0 = 2 and prime. a(n)=289 -> 2^2+8^8+9^9 = 404197709 and prime.

MATHEMATICA

sopQ[n_] := PrimeQ[Total[#^# & /@ (IntegerDigits[n] /. {0 -> 1})]]; Select[Range[625], sopQ[#] &] (* Jayanta Basu, Jun 25 2013 *)

CROSSREFS

Cf. A046432-A046441.

Sequence in context: A031089 A110186 A098945 * A108697 A109279 A258744

Adjacent sequences:  A046428 A046429 A046430 * A046432 A046433 A046434

KEYWORD

nonn,base

AUTHOR

Patrick De Geest, Jul 15 1998.

STATUS

approved

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Last modified July 21 02:55 EDT 2017. Contains 289629 sequences.