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 A185397 Largest number x such that the greatest prime factor of x^2+2 is A033203(n), the n-th prime not congruent to 5 or 7 mod 8. 0
 22, 140, 707, 21362, 4991, 1306066, 137965, 2294636, 31768298, 1557652, 340064590, 38439662, 105080665, 273502688, 543164542, 9575480365630, 391890109484, 14629598023, 80849485336, 1241646894380 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For any prime p, there are finitely many x such that x^2+2 has p as its largest prime factor. LINKS Table of n, a(n) for n=1..20. Filip Najman, Smooth values of some quadratic polynomials, Glasnik Matematicki Series III 45 (2010), pp. 347-355. Filip Najman, Home Page (gives all 914 numbers x such that x^2+2 has no prime factor greater than 193) CROSSREFS Equivalents for other polynomials: A175607 (x^2 - 1), A145606 (x^2 + x), A185389 (x^2 + 1), A185396 (x^2 - 2). Sequence in context: A263481 A238170 A275799 * A179792 A125332 A126490 Adjacent sequences: A185394 A185395 A185396 * A185398 A185399 A185400 KEYWORD nonn AUTHOR Charles R Greathouse IV, Feb 21 2011 STATUS approved

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Last modified December 9 13:48 EST 2023. Contains 367691 sequences. (Running on oeis4.)