A256842 Initial members of 5 twin primes with the smallest possible difference of 30.

39713433671, 66419473031, 71525244611, 286371985811, 480612532451, 535181743301, 789972743471, 1195575264641, 1219449947921, 1256522812841, 1292207447351, 1351477467251, 1450982599271, 1460592638171, 1515361442261, 1592346154541

Offset: 1

Author

Sebastian Petzelberger, Apr 21 2015

Keywords

• nonn

Comments

There are 5 twin primes in a group of 39 numbers. The term 5TP39 was suggested by prime number researcher Roger Hargrave on 16-FEB-2003. It is also the lowest number of ten primes.

We only have to test primes of the form p = 2310n + 821 and p = 2310n + 1451.

Similar to A059925, but here we have additionally a twin pair of primes in the middle.

Links

• Sebastian Petzelberger, Table of n, a(n) for n = 1..10000 The data and the b-file were compiled from the link below.
• D. L. P. Ballard, Hargrave Primes
• Thomas R. Nicely, Dense prime clusters

Crossrefs

Cf. A059925.