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 A169586 Primes p in A168540 for which q = 3^3 + 10^2*p^3 (A168487) is prime. 0
 2, 5, 7, 13, 17, 29, 61, 109, 137, 149, 191, 223, 227, 269, 311, 331, 337, 359, 389, 397, 409, 433, 457, 467, 491, 587, 619, 653, 661, 709, 727 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS It is conjectured that sequence is infinite REFERENCES Leonard E. Dickson: History of the Theory of numbers, vol. I, Dover Publications 2005 Theo Kempermann, Zahlentheoretische Kostproben, Harri Deutsch, 2. aktualisierte Auflage 2005 Arnold Scholz, Bruno Schoeneberg: Einführung in die Zahlentheorie, Walter de Gruyter, 5. Auflage 1973 LINKS EXAMPLE (1) 3^3+10^2*2^3=827=prime(144) gives a(1)=2=prime(1) (2) 3^3+10^2*5^3=12527=prime(1496) gives a(2)=5=prime(3) (3) 3^3+10^2*13^3=219727=prime(19588) gives a(4)=13=prime(6) CROSSREFS A000040 The prime numbers A167535 Concatenation of two square numbers which give a prime A168147 Primes of the form p = 1 + 10*n^3 for a natural number n A168327 Primes of concatenated form p= "1 n^3" A168375 Naturals n for which the concatenation p= "1 n^3"is prime A168487 Primes of form p = 3^3 + 10^2*n^3 with a natural number n A168540 Naturals n for which the concatenation p = 3^3 + 10^2*n^3 is prime Sequence in context: A160794 A092059 A260388 * A023229 A176983 A160676 Adjacent sequences:  A169583 A169584 A169585 * A169587 A169588 A169589 KEYWORD nonn AUTHOR Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), Dec 02 2009 STATUS approved

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Last modified July 26 22:49 EDT 2021. Contains 346300 sequences. (Running on oeis4.)