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Semiprimes in Arithmetic Sequence (Posted on 2022-11-20) Difficulty: 4 of 5
30 semiprimes, each less than 108, form an arithmetic sequence with strictly positive common difference.

Determine all of them.

Note: A semiprime is the product of exactly two primes.

*** For an extra challenge only, find a semi-analytic solution (simple calculator + p&p) to this puzzle.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question Really? | Comment 4 of 11 |
For L=30, R=10^8, unless the bound is wildly generous, there must be multiple prime factors of entries in S that are each of the order of 10^6.

Setting the actual problem aside(!) isn't trial factorisation of these factors alone pretty much beyond the reach of p&p?

I shall be intrigued to see KS's p&p solution!

  Posted by broll on 2022-11-20 23:43:53
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