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 A285887 Primes of the form (1 + x)^y + (-x)^y where y is a divisor of x. 4
 13, 37, 41, 127, 271, 313, 421, 881, 1013, 1201, 1801, 1861, 2113, 2269, 2381, 2791, 3613, 4651, 5101, 5419, 6211, 7057, 7321, 9941, 10513, 10657, 12097, 13267, 13613, 14281, 16381, 19927, 20201, 21013, 21841, 24421, 24571, 26227, 30013, 33391, 34061, 35317, 41761, 45757, 47741, 49297 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If x = y then: 13, 37, 881, 4651, 1273609, ... LINKS Robert Israel, Table of n, a(n) for n = 1..10000 J. S. Gerasimov, x^(y + 1) - y^x, SeqFan list, Aug 18 2014. EXAMPLE 13 is in this sequence because (1 + 2)^2 + (-2)^2 = 13 is prime where 2 is divisor of 2. MAPLE N:= 100000: # To get terms <= N Res:= NULL: for y from 2 while 2^y -1 <= N do z:= y/2^padic:-ordp(y, 2); if z > 1 and (z <> y or not isprime(z)) then next fi; for x from y by y do   v:= (1+x)^y + (-x)^y;   if v > N then break fi;   if isprime(v) then Res:= Res, v; fi od od: sort(convert({Res}, list)); # Robert Israel, Jan 05 2020 MATHEMATICA Union@ Flatten@ Table[Select[Map[(1 + n)^# + (-n)^# &, Divisors@ n], PrimeQ], {n, 200}] (* Michael De Vlieger, Apr 29 2017 *) CROSSREFS Cf. A285886, A285888. Sequence in context: A220462 A280997 A185006 * A063913 A119705 A155560 Adjacent sequences:  A285884 A285885 A285886 * A285888 A285889 A285890 KEYWORD nonn AUTHOR Juri-Stepan Gerasimov, Apr 27 2017 EXTENSIONS Edited by N. J. A. Sloane, Jan 11 2020 STATUS approved

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Last modified May 6 18:38 EDT 2021. Contains 343586 sequences. (Running on oeis4.)