OFFSET
1,1
COMMENTS
Numbers n such that m=(n^2+1)/2, p=(m^2+1)/2, q=(p^2+1)/2, r=(q^2+1)/2 and s=(r^2+1)/2 are all prime.
a(1)=30131199=A188547(70).
Two numbers n that generate 6 primes... are a(23)=1323139751 and a(78)=10185588801.
LINKS
Charles R Greathouse IV, Table of n, a(n) for n = 1..405, replacing an earlier b-file from Zak Seidov
Stephan Baier, On the Bateman-Horn conjecture, Journal of Number Theory 96, 432-448 (2002).
Paul T. Bateman, Roger A. Horn, A heuristic asymptotic formula concerning the distribution of prime numbers, Math. Comp. 16 (1962) 363-367.
CROSSREFS
KEYWORD
nonn
AUTHOR
Zak Seidov, Apr 05 2011
STATUS
approved