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A102635 Skipping from prime to prime by least powers of 2 using 53 as the seed. 1

%I #4 Apr 05 2019 11:51:23

%S 53,61,317,349,353,134218081

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

%C 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

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

%e 53+2^3 = 61 is prime

%e 134218081+2^392 is prime

%Y Cf. A033875, A102636, A102937.

%K nonn

%O 1,1

%A _Lei Zhou_, Jan 20 2005

%E The next term is too large to include.

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)