A102635 Skipping from prime to prime by least powers of 2 using 53 as the seed.

53, 61, 317, 349, 353, 134218081

Offset: 1

Author

Lei Zhou, Jan 20 2005

Keywords

• nonn

Comments

By skipping least power of 2, the numbers in sequence A033875 jump up rapidly and leave most of the primes behind. The first skipped prime is 29 but it joins the sequence by 29+2^1=31. So does 37. Then comes 53, it makes the second sequence in this row to an enormous number. Thereafter 67 goes back to the original sequence at 241. The next candidate sequence head is 127, which is in A102636

Examples

			53+2^3 = 61 is prime
134218081+2^392 is prime
		

Crossrefs

Cf. A033875, A102636, A102937.

Formula

a(1) = 53, a(n+1) = a(n) + 2^k; a(n+1) prime, k minimal.

Extensions

The next term is too large to include.