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 A248044 Least positive integer m such that m + n divides pi(m)^2 + pi(n)^2, where pi(x) denotes the number of primes not exceeding x. 2
 1, 3, 1, 4, 12, 11, 1, 8, 7, 16, 2, 5, 26, 25, 24, 4, 228, 227, 46, 45, 44, 43, 16, 6, 5, 1, 27, 26, 45, 44, 12526, 12525, 12524, 12523, 2970, 502, 351, 350, 46, 45, 236, 235, 10, 9, 8, 4, 1078, 1077, 576, 575, 574, 198, 63, 62, 61, 176, 16, 10, 362, 70 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Conjecture: a(n) exists for any n > 0. LINKS Chai Wah Wu, Table of n, a(n) for n = 1..10000 (n = 1..1387 from Zhi-Wei Sun) Zhi-Wei Sun, A new theorem on the prime-counting function, arXiv:1409.5685, 2014. EXAMPLE a(5) = 12 since 12 + 5 = 17 divides pi(12)^2 + pi(5)^2 = 5^2 + 3^2 = 34. MATHEMATICA Do[m=1; Label[aa]; If[Mod[PrimePi[m]^2+PrimePi[n]^2, m+n]==0, Print[n, " ", m]; Goto[bb]]; m=m+1; Goto[aa]; Label[bb]; Continue, {n, 1, 60}] CROSSREFS Cf. A000720, A247824, A247975, A248035, A248036. Sequence in context: A065253 A010756 A191857 * A153278 A010284 A095328 Adjacent sequences:  A248041 A248042 A248043 * A248045 A248046 A248047 KEYWORD nonn,look AUTHOR Zhi-Wei Sun, Sep 30 2014 STATUS approved

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Last modified May 24 23:45 EDT 2020. Contains 334581 sequences. (Running on oeis4.)