perplexus.info :: Numbers : Quintuplet of consecutive primes

Quintuplet of consecutive primes (Posted on 2018-08-11)

Five Consecutive Primes starting from M1 create two palindromic numbers:
M1*M2*...*M5 = Pal1
M1^2+M2^2+...M5^2 =Pal2

Find M1, Pal1 & Pal2.

I know only one solution...

Submitted by Ady TZIDON

No Rating

Solution: (Hide)

17 11 13 17 19 is the sequence, 7*11*13=1001 is a good start for palindrome.
Luckily enough 17*19 is a 3 digit palindrome so 323323 one can get at a 1st trial
989 happens to be the sum of the 5 primes
Computer search finds no other solutions - this fact could not be verified without programming.

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

Subject	Author	Date
re: ludo king	adam	2019-01-03 03:45:33
ludo king	funnyjokes	2018-08-20 23:20:19
computer solution	Charlie	2018-08-11 13:42:49

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (10)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info