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A185396 Largest number x such that the greatest prime factor of x^2-2 is A038873(n), the n-th prime not congruent to 3 or 5 mod 8. 1
2, 10, 108, 235, 1201, 390050, 314766, 4035, 364384, 50411, 25955045, 5254864, 236558593, 16958526, 20388056, 177544434, 492981885, 2275400230, 256347346, 384902923486 (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 537 numbers x such that x^2-2 has no prime factor greater than 199)

CROSSREFS

Equivalents for other polynomials: A175607 (x^2 - 1), A145606 (x^2 + x), A185389 (x^2 + 1).

Sequence in context: A217901 A127728 A306064 * A003222 A262145 A003167

Adjacent sequences:  A185393 A185394 A185395 * A185397 A185398 A185399

KEYWORD

nonn

AUTHOR

Charles R Greathouse IV, Feb 21 2011

STATUS

approved

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Last modified January 24 10:24 EST 2020. Contains 331193 sequences. (Running on oeis4.)