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 A275148 Numbers m where the least natural number k such that m + k^2 is prime reaches a new record value. 2
 1, 3, 5, 24, 26, 29, 41, 290, 314, 626, 1784, 6041, 7556, 7589, 8876, 26171, 52454, 153089, 159731, 218084, 576239, 1478531, 2677289, 2934539, 3085781, 3569114, 3802301, 4692866, 24307841, 25051934, 54168539 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Position of records in A085099. On the Bunyakovsky conjecture A085099(n) exists for each n and hence this sequence is infinite since A085099 is unbounded. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..40 EXAMPLE 26 + 9^2 is prime, and 26 + 1^2, 26 + 2^2, ..., 26 + 8^2 are all composite; numbers 1..25 all have some square less than 9^2 for which the sum is prime, so 26 is in this sequence. The first few primes generated by these terms are as follows: 1 + 1^2 = 2 3 + 2^2 = 7 5 + 6^2 = 41 24 + 7^2 = 73 26 + 9^2 = 107 29 + 12^2 = 173 41 + 24^2 = 617 290 + 27^2 = 1019 314 + 45^2 = 2339 626 + 69^2 = 5387 1784 + 93^2 = 10433 6041 + 114^2 = 19037 PROG (PARI) A085099(n)=my(k); while(!isprime(k++^2+n), ); k r=0; for(n=1, 1e9, t=A085099(n); if(t>r, r=t; print1(n", "))) CROSSREFS Cf. A085099. Sequence in context: A050280 A005761 A200948 * A336425 A230985 A286427 Adjacent sequences: A275145 A275146 A275147 * A275149 A275150 A275151 KEYWORD nonn AUTHOR Charles R Greathouse IV, Jul 17 2016 STATUS approved

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Last modified April 24 14:23 EDT 2024. Contains 371960 sequences. (Running on oeis4.)