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 A167412 Primes p such that sum of (digits^2) + 1 is prime. 2
 2, 11, 13, 19, 31, 37, 59, 73, 79, 97, 101, 103, 109, 163, 181, 211, 233, 251, 257, 277, 307, 349, 383, 439, 499, 509, 521, 541, 563, 587, 613, 631, 653, 709, 727, 769, 787, 811, 857, 877, 907, 929, 967, 1009, 1021, 1063, 1117, 1151, 1153, 1171, 1201, 1223 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 11 is a term because 1^2 + 1^2 + 1 = 3 (prime); 163 is a term because 1^2 + 6^2 + 3^2 + 1 = 47; 277 is a term because 2^2 + 7^2 + 7^2 + 1 = 103. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1300 MAPLE A003132 := proc(n) local d; add(d^2, d=convert(n, base, 10)) ; end proc: A167412 := proc(n) local p; if n = 1 then 2; else p := nextprime(procname(n-1)) ; while not isprime(A003132(p)+1) do p := nextprime(p) ; end do ; return p end if ; end proc: seq(A167412(n), n=1..80) ; # R. J. Mathar, Nov 04 2009 MATHEMATICA Select[Prime[Range[2000]], PrimeQ[Total[IntegerDigits[#]^2] + 1]&] (* Vincenzo Librandi, Sep 25 2014 *) CROSSREFS Cf. A167414. Sequence in context: A207039 A095743 A106984 * A166561 A179462 A207192 Adjacent sequences: A167409 A167410 A167411 * A167413 A167414 A167415 KEYWORD nonn,base AUTHOR Vincenzo Librandi, Nov 03 2009 EXTENSIONS 2, 211, 233 inserted and more terms after 653 added by R. J. Mathar, Nov 04 2009 STATUS approved

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Last modified November 27 05:12 EST 2022. Contains 358362 sequences. (Running on oeis4.)