Problems & Puzzles: Puzzles


Puzzle 828. A sequence of primes such that... are free of the digits 2,0,1,6.

Get a sequence of the least distinct primes p1, p2, p3, ... such that:

a) pi
b) pi+pi+1

any of these three quantities do not contain the digits 2, 0, 1 & 6. Start the sequence in p1 the least prime possible for this purpose.

Q. Compute p2016
n.b. This puzzle is based in a similar sequence recently proposed by Eric Angelini, somewhere out there. See also Entry 1432 by Claudio Meller.

Contribution came from Jan van Delden


Jan wrote:

p[2016]=758989757 (9 digits)
Max member = 334798899995587 (15 digits)
See complete list here.




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