perplexus.info :: Numbers : A string of primes

A string of primes (Posted on 2005-09-01)

Starting from an arbitrary prime of 3 digits you choose, construct a sequence of distinct 3-digit primes such that every one is formed by the 2 rightmost digits of the previous one plus any digit juxtaposed to the right - e.g. 113, 137, 373,... What is the maximum number of distinct primes that YOU can achieve in the sequence?

Submitted by pcbouhid

Rating: 2.0000 (1 votes)

Solution: (Hide)

26 prime numbers!

241, 419, 191, 919, 193, 937, 373, 733, 331, 317, 179, 797, 977, 773, 739, 397, 971, 719, 199, 991, 911, 113, 131, 313, 137, 379.

Or, also :

941, 419, 199, 991, 919, 193, 937, 379, 797, 977, 773, 739, 397, 971, 719, 191, 911, 113, 131, 313, 137, 373, 733, 331, 317, 179.

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

Subject	Author	Date
answer	K Sengupta	2008-02-26 12:10:22
re: 1820 computer solutions -- the program	Charlie	2005-09-01 14:25:00
re: 1820 computer solutions	Charlie	2005-09-01 14:20:30
1820 computer solutions	Charlie	2005-09-01 14:18:39

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