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 A138940 Indices n such that A019328(n) = Phi(n,10) is prime, where Phi is a cyclotomic polynomial. 25
 2, 4, 10, 12, 14, 19, 23, 24, 36, 38, 39, 48, 62, 93, 106, 120, 134, 150, 196, 317, 320, 385, 586, 597, 654, 738, 945, 1031, 1172, 1282, 1404, 1426, 1452, 1521, 1752, 1812, 1836, 1844, 1862, 2134, 2232, 2264, 2667, 3750, 3903, 3927, 4274, 4354, 5877, 6022 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Unique period primes (A040017) are often of the form Phi(k,10) or Phi(k,-10). Terms of this sequence which are the square of a prime, a(n)=p^2, are such that A252491(p) is prime. Apart from a(2)=2^2, there is no such term up to 26570. - M. F. Hasler, Jan 09 2015 LINKS Ray Chandler, Table of n, a(n) for n = 1..102 (first 50 terms from Robert Price, terms 92-93 from Serge Batalov, others from Kamada link) Chris Caldwell, Unique Primes. Makoto Kamada, Factorizations of Phi_n(10) (including prime members up to 200000). MATHEMATICA Select[Range[1000], PrimeQ[Cyclotomic[#, 10]] &] (* T. D. Noe, Mar 03 2012 *) PROG (PARI) for( i=1, 999, isprime( polcyclo(i, 10)) &&& print1( i", ")) /* for PARI < 2.4.2 use ...subst(polcyclo(i, x), x, 10)... */ CROSSREFS Cf. A019328, A040017, A085035, A252491. Cf. Subsequence of A007498, contains A004023. Sequence in context: A249446 A184815 A290473 * A278465 A129412 A266115 Adjacent sequences:  A138937 A138938 A138939 * A138941 A138942 A138943 KEYWORD nonn AUTHOR M. F. Hasler, Apr 03 2008 EXTENSIONS a(28)-a(43) from Robert Price, Mar 03 2012 a(44)-a(50) from Robert Price, Apr 14 2012 a(51)-a(91) from Ray Chandler, Maksym Voznyy et al. (cf. Phi_n(10) link), ca. 2009 a(92)-a(93) from Serge Batalov, Mar 28 2015 STATUS approved

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Last modified April 6 10:05 EDT 2020. Contains 333273 sequences. (Running on oeis4.)