A099154 Largest number k such that the interval [k^2,(k+1)^2] contains not more than n pairs of twin primes.

122, 213, 502, 545, 922, 950, 749, 1098, 1330, 1450, 1634, 1623, 2135, 2110, 2177, 2244, 2760, 2413, 2556, 3280, 3454, 3211, 3740, 3540, 4104, 4096, 4391, 4457, 4592, 5309, 4758, 5720, 5747, 5295, 5902, 5456, 5920, 6395, 5810, 7007, 7109, 7450, 7540

Offset: 0

Author

Hugo Pfoertner, Sep 30 2004

Keywords

• nonn

Comments

The terms of this sequence are conjectural, even under the twin prime conjecture.

Examples

			a(1)=213 because the interval [213^2,214^2]=[45369,45796] contains one pair of twin primes (45587,45589) whereas all higher intervals are conjectured to contain at least two pairs of twin primes.
The interval [122^2,123^2]=[A091592(11)^2,(A091592(11)+1)^2] is conjectured to be the last interval between two consecutive squares containing no twin primes.
		

Links

• Eric Weisstein's World of Mathematics, Twin Primes.
• Eric Weisstein's World of Mathematics, Twin Prime Conjecture.

Crossrefs

Cf. A091591 number of pairs of twin primes between n^2 and (n+1)^2, A091592 numbers n such that there are no twin primes between n^2 and (n+1)^2, A014574.