A301810 Smallest prime that starts a sequence of at least n consecutive primes with a difference of 210.

2, 20831323, 264860525297, 110176968196069, 21128733495648197, 2537788218640453109

Offset: 1

Author

Paul Zimmermann, Mar 27 2018

Keywords

• nonn
• hard
• more

Comments

a(n) is the first prime of the sequence.

a(1) = 2. Thereafter, a(n) = smallest p such that p + 210*(k-1) and p + 210*k are consecutive primes for all 1 <= k <= n - 1. - Altug Alkan, Mar 27 2018

a(7) <= 71137654873189893604531. - Paul Zimmermann, Nov 12 2018

Examples

			a(2)=20831323 since the first prime gap of 210 starts at 20831323.
		

Crossrefs

Cf. A002386, A116495.

Extensions

a(6) from Paul Zimmermann, Nov 12 2018