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

224494620, 246632190, 301125300, 1536160080, 1760583300, 4012387260, 4911773580, 7158806130, 8155368060, 15049362300, 15908029410, 18191167890, 21238941150, 22519921410, 25104552900, 25837762860, 27109731180, 27380574480, 27925987530, 29165157630

Offset

1,1

Comments

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

Links

Sameen Ahmed Khan, Table of n, a(n) for n = 1..180

Sameen Ahmed Khan, Primes in Geometric-Arithmetic Progression, arXiv:1203.2083 [math.NT], 2012. - From N. J. A. Sloane, Sep 15 2012

Example

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

Mathematica

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}]

Crossrefs

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

Sequence in context: A374785 A258364 A046327 * A321147 A336679 A176364

Adjacent sequences: A206041 A206042 A206043 * A206045 A206046 A206047

Keyword

nonn

Author

Sameen Ahmed Khan, Feb 03 2012

Extensions

Typo in Name fixed by Zak Seidov, Jan 12 2014

Status

approved