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A071612 a(n) is the smallest prime that is the first of n consecutive primes which are all emirps. 11

%I #15 Apr 28 2021 03:45:59

%S 13,13,71,733,1193,1193,1193,1193,1193,1193,1477271183,9387802769,

%T 15423094826093

%N a(n) is the smallest prime that is the first of n consecutive primes which are all emirps.

%H Chris K. Caldwell and G. L. Honaker, Jr., <a href="https://primes.utm.edu/curios/page.php?curio_id=1099">Prime Curios! 9387802769</a>

%e 1193,1201,1213,1217,1223,1229,1231,1237,1249,1259 are ten consecutive primes which are all emirps and 1193,1201,1213,1217,1223 is the first occurrence of five consecutive primes which are all emirps, so a(5) = a(6) = a(7) = a(8) = a(9) = a(10) = 1193.

%Y Cf. A006567, A070905, A071614, A103172.

%K base,more,nonn

%O 1,1

%A _Klaus Brockhaus_, May 27 2002

%E By studying terms of the sequence A103172 we can deduce that a(11), a(12) are 1477271183 & 9387802769. - _Farideh Firoozbakht_, Jun 17 2010

%E a(13) from _Giovanni Resta_, Apr 23 2021

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Last modified June 1 15:48 EDT 2024. Contains 373025 sequences. (Running on oeis4.)