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A206044 Values of the difference d for 10 primes in arithmetic progression with the minimal start sequence {11 + j*d}, j = 0 to 9. 10

%I #22 Jan 08 2023 08:18:44

%S 224494620,246632190,301125300,1536160080,1760583300,4012387260,

%T 4911773580,7158806130,8155368060,15049362300,15908029410,18191167890,

%U 21238941150,22519921410,25104552900,25837762860,27109731180,27380574480,27925987530,29165157630

%N Values of the difference d for 10 primes in arithmetic progression with the minimal start sequence {11 + j*d}, j = 0 to 9.

%C The computations were done without any assumptions on the form of d. 181st term is greater than 10^12.

%H Sameen Ahmed Khan, <a href="/A206044/b206044.txt">Table of n, a(n) for n = 1..180</a>

%H Sameen Ahmed Khan, <a href="http://arxiv.org/abs/1203.2083">Primes in Geometric-Arithmetic Progression</a>, arXiv:1203.2083 [math.NT], 2012. - From _N. J. A. Sloane_, Sep 15 2012

%e d = 301125300 then {11, 301125311, 602250611, 903375911, 1204501211, 1505626511, 1806751811, 2107877111, 2409002411, 2710127711} which is 10 primes in arithmetic progression.

%t a = 11; Do[If[PrimeQ[{a, a + d, a + 2*d, a + 3*d, a + 4*d, a + 5*d, a + 6*d, a + 7*d, a + 8*d, a + 9*d}] == {True, True, True, True, True, True, True, True, True, True}, Print[d]], {d, 600000000, 2}]

%Y Cf. A040976, A206037, A206038, A206039, A206040, A206041, A206042, A206043, A206045.

%K nonn

%O 1,1

%A _Sameen Ahmed Khan_, Feb 03 2012

%E Typo in Name fixed by _Zak Seidov_, Jan 12 2014

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Last modified March 28 15:28 EDT 2024. Contains 371254 sequences. (Running on oeis4.)