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 A232116 Primes such that the sum of each nonzero digit raised to itself is prime. 1
 11, 23, 41, 43, 47, 101, 113, 131, 157, 263, 311, 401, 571, 751, 829, 997, 1013, 1031, 1103, 1187, 1301, 1433, 1583, 1619, 1871, 2003, 2063, 2089, 2111, 2221, 2357, 2579, 2683, 2753, 2957, 3011, 3257, 3343, 3413, 3433, 3527, 3581, 3637, 3673, 3851, 4001, 4003, 4007, 4133, 4441, 4481, 4597, 4649 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 EXAMPLE 43 is a member of this sequence because 43 is prime and 4^4 + 3^3 = 256 + 27 = 283 is also prime. 263 is a member of this sequence because 263 is prime and 2^2 + 6^6 + 3^3 = 4 + 46656 + 27 = 46687 is also prime. PROG (Python) from sympy import isprime, primerange def Pow(n): s = 0 for i in str(n): k = int(i) if k: s += k**k return s {print(pn, end=', ') for pn in primerange(1, 2000) if isprime(Pow(pn))} ## Simplified by Derek Orr, Apr 05 2015 (PARI) sdiz(n) = {digs = digits(n); sum(i=1, #digs, if (digs[i], digs[i]^digs[i], 0)); } lista(nn) = {forprime(n=1, nn, if (isprime(sdiz(n)), print1(n, ", "))); } \\ Michel Marcus, Nov 21 2013 (PARI) has(n)=ispseudoprime(vecsum([x^x|x<-digits(n), x])) select(has, primes(1000)) \\ Charles R Greathouse IV, Nov 21 2013 CROSSREFS Cf. A000040, A045512. Sequence in context: A130282 A019356 A046440 * A119890 A094376 A086524 Adjacent sequences: A232113 A232114 A232115 * A232117 A232118 A232119 KEYWORD nonn,base AUTHOR Derek Orr, Nov 19 2013 STATUS approved

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Last modified December 2 09:50 EST 2023. Contains 367517 sequences. (Running on oeis4.)