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 A058911 Numbers k such that k^k + k + 1 is prime. 3
 0, 1, 2, 3, 6, 9, 462 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS There is no further term up to 10000. - Farideh Firoozbakht, Nov 11 2006 If it exists, a(8) > 32100. - Dmitry Petukhov, Sep 14 2021 LINKS Table of n, a(n) for n=1..7. EXAMPLE a(2) = 2 because 2^2 + 2 + 1 = 7. MATHEMATICA Do[ If[ PrimeQ[ n^n + n + 1], Print[n]], {n, 1, 700} ] Join[{0}, Select[Range[470], PrimeQ[#^#+#+1]&]] (* Harvey P. Dale, Dec 11 2022 *) PROG (PARI) f2(n, k) = for(x=1, n, y=x^x+x+k; if(ispseudoprime(y), print1(x", "))) \\ Cino Hilliard, Jan 07 2005 (PFGW) ABC2 \$a^\$a + \$a + 1 a: from 0 to 1000 // Jinyuan Wang, Mar 01 2020 CROSSREFS Cf. A058912 (k^k + k - 1 is prime), A161471 (corresponding primes). Sequence in context: A071714 A077753 A353122 * A249247 A276956 A276946 Adjacent sequences: A058908 A058909 A058910 * A058912 A058913 A058914 KEYWORD nonn,hard,more AUTHOR Felice Russo, Jan 10 2001 STATUS approved

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Last modified June 17 18:36 EDT 2024. Contains 373463 sequences. (Running on oeis4.)