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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A119662 Primes of the form k! + k^2 + 1. 1 2, 3, 7, 41, 757 (list; graph; refs; listen; history; text; internal format) OFFSET 1,1 COMMENTS Primes of the form A004664(k) + 1. For k! + k^2 + 1 to be prime, k > 1, it is necessary but not sufficient for k to be even. No more terms for k < 1150. [Vincenzo Librandi, Dec 22 2010] LINKS Table of n, a(n) for n=1..5. FORMULA A000040 INTERSECTION A227546 = primes INTERSECTION {k! + k^2 + 1}. MATHEMATICA lst={}; Do[s=n!+n^2; If[PrimeQ[p=s+1], AppendTo[lst, p]], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 27 2008 *) PROG (Magma) [ a: n in [0..1150] | IsPrime(a) where a is Factorial(n)+n^2+1 ]; // Vincenzo Librandi, Dec 22 2010 CROSSREFS Cf. A000040, A004664, A119448. Sequence in context: A037843 A355129 A102604 * A265776 A163157 A260819 Adjacent sequences: A119659 A119660 A119661 * A119663 A119664 A119665 KEYWORD nonn AUTHOR Jonathan Vos Post, Jul 28 2006 STATUS approved

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Last modified August 27 19:37 EDT 2024. Contains 375471 sequences. (Running on oeis4.)