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A054805 Second term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2).. 5

%I #13 Aug 28 2021 12:20:47

%S 37,67,97,223,277,307,457,479,613,631,719,751,853,877,929,1087,1297,

%T 1423,1447,1471,1543,1657,1663,1693,1733,1777,1783,1847,1861,1867,

%U 1987,1993,2053,2137,2333,2371,2377,2459,2467,2503,2521,2531,2579,2609,2647

%N Second term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2)..

%C Second member of pairs of consecutive primes in A051634 (strong primes). - _M. F. Hasler_, Oct 27 2018

%H M. F. Hasler, <a href="/A054805/b054805.txt">Table of n, a(n) for n = 1..10000</a>, Oct 27 2018

%F a(n) = nextprime(A054804(n))= prevprime(A054806(n)), nextprime = A151800, prevprime = A151799. - _M. F. Hasler_, Oct 27 2018

%Y Cf. A051634, A051635; A054800 .. A054803: members of balanced prime quartets (= consecutive primes in arithmetic progression); A054804 .. A054818: members of strong prime quartet, quintet, sextet; A054819 .. A054840: members of weak prime quartet, quintet, sextet, septets.

%K nonn

%O 1,1

%A _Henry Bottomley_, Apr 10 2000

%E Offset corrected to 1 by _M. F. Hasler_, Oct 27 2018

%E Definition clarified by _N. J. A. Sloane_, Aug 28 2021

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)