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Fourth term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2).
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%I #8 Aug 28 2021 12:22:03

%S 43,73,103,229,283,313,463,491,619,643,733,761,859,883,941,1093,1303,

%T 1429,1453,1483,1553,1667,1669,1699,1747,1787,1789,1867,1871,1873,

%U 1997,1999,2069,2143,2341,2381,2383,2473,2477,2531,2539,2543,2593,2621,2659

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

%H M. F. Hasler, <a href="/A054807/b054807.txt">Table of n, a(n) for n = 1..10000</a>, Oct 27 2018

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

%Y Cf. A051634, A051635; A054800 .. A054803: members of balanced prime quartets (= 4 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.