1 followed by A002314. [From _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, May 29 2010]
Disentangled variables in the definition - _R. J. Mathar (mathar(AT)strw.leidenuniv.nl), _, Jun 07 2010
Smallest number n k such that primes p == 1 (mod 4) or == 2 (mod 4) (A002313) a divisor of (n) divides k^2+1.
1^2+1 = 2, 2==2 (mod 4) 1st term of which is divided by A002313, (1) which adds 1 is 1st termto the sequence.
2^2+1 = 5, 5==1 (mod 4) 2nd term of is divided by A002313, (2) which adds 2 is 2nd termto the sequence.
27^2+1 = 2 * 5 * 73, 73==1 (mod 4) 10th term of 730 is divided by A002313, (10) which adds 27 is 10th termto the sequence.
Friedhelm Padberg: Elementare Zahlentheorie. Spektrum Akademischer Verlag, Berlin Heidelberg, 1996
easy,nonn,new
Disentangled variables in the definition - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 07 2010
Smallest number n that primes p == 1 (mod 4) or == 2 (mod 4) (A002313) a divisor of n^2+1.
1, 2, 5, 4, 12, 6, 9, 23, 11, 27, 34, 22, 10, 33, 15, 37, 44, 28, 80, 19, 81, 14, 107, 89, 64, 16, 82, 60, 53, 138, 25, 114, 148, 136, 42, 104, 115, 63, 20, 143, 29, 179, 67, 109, 48, 208, 235, 52, 118, 86, 24, 77, 125, 35, 194, 154, 149, 106, 58, 26, 135, 96, 353, 87, 39
1,2
See comments and references of A002313
Friedhelm Padberg: Elementare Zahlentheorie. Spektrum Akademischer Verlag, Berlin Heidelberg, 1996
easy,nonn,new
Eva-Maria Zschorn (e-m.zschorn(AT)zaschendorf.km3.de), May 16 2010
approved