A103576 Concatenations of pairs of primes that differ by 1000000.

31000003, 371000037, 1511000151, 1931000193, 1991000199, 2111000211, 3131000313, 3671000367, 3971000397, 4091000409, 4571000457, 5411000541, 5471000547, 5771000577, 6191000619, 6911000691, 8291000829, 8591000859

Offset

1,1

Comments

After the first element, 31000003, which is prime, integers in this sequence can never be prime, as they are all multiples of 3. They can be semiprimes, as is the case for 3671000367 = 3 x 1223666789, 4571000457 = 3 x 1523666819, 5411000541 = 3 x 1803666847, 9071000907 = 3 x 3023666969.

Links

Table of n, a(n) for n=1..18.

Formula

a(n) = Concatenate(P, P+1000000) iff P prime and P+1000000 prime.

Example

Prime(47) = 211 and 211 + 1000000 = Prime(78515) = 1000211. Concatenating these two primes gives 2111000211 = 3^4 * 17^2 * 31 * 2909.

Crossrefs

Cf. A000040, A001358, A023201, A100750, A103195, A103206, A104718, A104719, A103523, A103534.

Sequence in context: A297447 A205272 A261986 * A288087 A203276 A182088

Adjacent sequences: A103573 A103574 A103575 * A103577 A103578 A103579

Keyword

base,easy,nonn

Author

Jonathan Vos Post, Mar 23 2005

Status

approved