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Permuting Primes Arithmetically (Posted on 2009-01-30)

Determine all possible triplet(s) (A, B, C) of four-digit decimal primes, with A < B < C, such that:

(i) A, B and C (in this order) are in arithmetic sequence, and:

(ii) Each of B and C is obtained by permuting the digits of A, and:

(iii) None of A, B and C can contain any leading zero.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A, B, C) = (1487, 4817, 8147) and, (2969, 6299, 9629) are the only possible triplets that satisfy all the given conditions.

For an explanation, refer to the solution submitted by Charlie - here, here and here.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): computer exploration (spoiler?) --------- Can you check?	Charlie	2009-01-30 16:22:55
re(2): computer exploration (spoiler?) --------- Can you check?	K Sengupta	2009-01-30 15:50:26
re: computer exploration (spoiler?) -- another list	Charlie	2009-01-30 14:42:29
computer exploration (spoiler?)	Charlie	2009-01-30 14:35:55

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