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A091366
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Primes p such that the sum of the cubes of the digits of p is prime.
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6
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11, 101, 113, 131, 139, 151, 193, 199, 223, 227, 241, 263, 269, 281, 283, 311, 337, 353, 359, 373, 421, 449, 461, 463, 487, 557, 577, 593, 599, 641, 643, 661, 733, 757, 821, 823, 827, 829, 883, 887, 919, 953, 991, 997, 1013, 1031, 1039, 1051, 1093, 1103, 1123
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Apparently, in most cases the sum of the digits of such primes is also prime, see A091365 for the exceptions.
I conjecture the contrary: the relative density of numbers in this sequence with prime digit sum is 0. -- Charles R Greathouse IV
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EXAMPLE
| a(1)=11 because 1^3 + 1^3 = 2 which is prime. a(10)=227 because 2^3 + 2^3 + 7^3 = 359 which is prime.
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PROG
| (PARI) isA091366(n)=my(v); if(!isprime(n), return(0)); v=eval(Vec(Str(n))); isprime(sum(i=1, #v, v[i]^3))
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CROSSREFS
| Cf. A046704 (primes whose digits sum to a prime) A052034 (primes whose digits squared sum to a prime) A091365 (primes whose digits cubed sum to a prime but whose digits do not sum to a prime).
Sequence in context: A057148 A076289 A117697 * A158051 A073064 A155075
Adjacent sequences: A091363 A091364 A091365 * A091367 A091368 A091369
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KEYWORD
| base,nonn
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AUTHOR
| Chuck Seggelin (barkeep(AT)plastereddragon.com), Jan 03 2004
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EXTENSIONS
| Inserted 997, added program and comment -- Charles R Greathouse IV (charles.greathouse(AT)case.edu), Sep 08 2010
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