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A068487 Smallest prime equal to n^2 + m^2 with n<m. 3
5, 13, 73, 41, 61, 157, 113, 233, 181, 269, 317, 313, 569, 421, 709, 617, 613, 853, 761, 929, 1117, 1013, 1429, 1201, 1301, 1637, 1753, 1873, 1741, 1861, 2897, 2113, 2689, 2381, 2521, 3697, 2969, 3469, 3121, 3449, 3617, 3613, 4153, 4337, 4729, 4517, 4513 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
All terms are congruent to 1 (mod 4). - Carmine Suriano, Mar 30 2011
LINKS
MAPLE
for n from 1 to 100 do m := n+1:while(not isprime(n^2+m^2)) do m := m+1; end do:a[n] := n^2+m^2:end do:q := seq(a[i], i=1..100);
MATHEMATICA
Table[k = n + 1; While[p = n^2 + k^2; ! PrimeQ[p], k++]; p, {n, 100}] (* T. D. Noe, Mar 30 2011 *)
CROSSREFS
Cf. A089489 (values of m).
Sequence in context: A093118 A359690 A087506 * A075063 A100209 A139361
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Mar 11 2002
EXTENSIONS
More terms from Sascha Kurz, Mar 17 2002
STATUS
approved

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Last modified March 28 14:21 EDT 2024. Contains 371254 sequences. (Running on oeis4.)