

A187431


Numbers n that generate 5 primes under the first 5 iterations of the map n>A002731(n).


6



30131199, 50817201, 56496039, 74316929, 171407609, 276672151, 293315671, 337876949, 356498179, 359830101, 372590921, 432448789, 501182201, 541961069, 577016839, 616411051, 749536461, 776113741, 903321909, 919203811, 1005047121, 1285328811, 1323139751, 1340738371
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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.
Subsequence of A188547 which itself is subsequence of A188546 which is subsequence of A116945.
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 bfile from Zak Seidov
Stephan Baier, On the BatemanHorn conjecture, Journal of Number Theory 96, 432448 (2002).
Paul T. Bateman, Roger A. Horn, A heuristic asymptotic formula concerning the distribution of prime numbers, Math. Comp. 16 (1962) 363367.


CROSSREFS

Cf. A002731, A105318, A116945, A188546, A188547.
Sequence in context: A287384 A107619 A320723 * A204346 A263644 A283619
Adjacent sequences: A187428 A187429 A187430 * A187432 A187433 A187434


KEYWORD

nonn


AUTHOR

Zak Seidov, Apr 05 2011


STATUS

approved



