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A078403 Primes such that digital root (A038194) is prime. +0
10
2, 3, 5, 7, 11, 23, 29, 41, 43, 47, 59, 61, 79, 83, 97, 101, 113, 131, 137, 149, 151, 167, 173, 191, 223, 227, 239, 241, 257, 263, 277, 281, 293, 311, 313, 317, 331, 347, 349, 353, 367, 383, 389, 401, 419, 421, 439, 443, 457, 461, 479, 491, 509, 547, 563, 569 (list; graph; listen)
OFFSET

1,1

EXAMPLE

59 is a term because 5+9=14, giving (final) iterated sum 1+4=5 and 5 is prime.

MATHEMATICA

Select[ Range[580], PrimeQ[ # ] && PrimeQ[Mod[ #, 9]] &]

PROGRAM

(PARI) forprime(p=2, 997, if(isprime(p%9), print1(p, ", ")))

CROSSREFS

Cf. A070027, A078400.

Sequence in context: A048278 A068863 A087521 this_sequence A129945 A046704 A089392

Adjacent sequences: A078400 A078401 A078402 this_sequence A078404 A078405 A078406

KEYWORD

base,easy,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 26 2002

EXTENSIONS

Extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Klaus Brockhaus (klaus-brockhaus(AT)t-online.de) and Rick L. Shepherd (rshepherd2(AT)hotmail.com), Dec 27 2002

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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