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Prime 5-tuple 10000024493 + K * 30 for K = 0 to 4.
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%I #20 Apr 11 2022 22:21:26

%S 10000024493,10000024523,10000024553,10000024583,10000024613

%N Prime 5-tuple 10000024493 + K * 30 for K = 0 to 4.

%C A052243(20) = 9843019 and A052243(21) = 9843049 are the first two primes in the smallest 5-tuple with difference 30 reported by Lander and Parkin in 1967. The much larger 5-tuple beginning with 10000024493 was reported by Jones, Lal and Blundon in the same year.

%C Sequence A059044 lists the quintuplets of consecutive primes in arithmetic progression (CPAP-5). A059044(9) ~ 10^8, A059044(86) ~ 10^9. a(1) ~ 10^10 might occur in that sequence around index n = 1000. - _M. F. Hasler_, Oct 28 2018

%D Yan S.Y. (2009) Number-Theoretic Preliminaries. In: Primality Testing and Integer Factorization in Public-Key Cryptography. Advances in Information Security, vol 11. Springer, Boston, MA.

%H M. F. Jones, M. Lal and W. J. Blundon, <a href="https://doi.org/10.1090/S0025-5718-1967-0220655-3">Statistics on certain large primes</a>, Math. Comp., 21:97 (1967) 103--107.

%H L. J. Lander and T. R. Parkin, <a href="https://doi.org/10.1090/S0025-5718-67-99657-3">Consecutive primes in arithmetic progression</a>, Math. Comp., 21 (1967) 489.

%H <a href="/index/Pri#primes_AP">Index entries for sequences related to primes in arithmetic progressions</a>.

%Y Cf. A052243, A033290.

%K nonn,full,fini,less

%O 1,1

%A _Frank Ellermann_, Oct 16 2017