Problems & Puzzles: Problems

Problem 17.- The largest known sequence of consecutive and reversible primes.

I found last year (August 3, 1998) the following sequence: 

{1193,1201,1213,1217,1223,1229,1231,1237,1249,1259}

(See  the Sloane’s sequence A040104, and see also my Puzzle No. 20 )

All of the ten (10) members of this sequence are consecutive primes and also reversible (non-palindromic) primes; this last means that 1193 and 3911 are primes, 1201 and 1021 are primes, and so on.

As far as I know this is the largest known sequence of this type.

Questions:
a) Can you find a larger sequence of this type?
b) Can you find a larger sequence including palprimes, if necessary?

Solution

Felice Russo has obtained (May 21, 1999) another sequence of 10 consecutive reversible non palindromic primes, 8 digits each:

{91528739, 91528777, 91528807, 91528817, 91528819, 91528823
91528837, 91528841, 91528903, 91528939}

***

Jud McCranie sent (May 22, 1999) one more 10 members sequence of consecutive reversible and non palindromic primes, 9 digits each, starting in 302706311 and ending in 302706493.

***

My feeling (CR) now - after this other two10 members sequences - is that an eleven members sequence of this type must exists...

***

Jud McCranie has gotten - at last, 27/05/99 - a sequence of 11 terms: 1477271183 through 1477271387.

Previously he got another sequences of 10 terms:
777528457-617
778286917-7109
924408493-619
and 1177842077 through 1177842269
***
One day after (28/05/99) he got another larger sequence (12 terms):
form 
9387802769 to 9387803033.

Other results from him are:
Terms - From - To:
10 - 1801280717 - 1801280867
10 - 1811906567 - 1811906743
10 - 7060718569 - 7060718747
10 - 9338212141 - 9338212381
11 - 9427522387 - 9427522387
***


Records   |  Conjectures  |  Problems  |  Puzzles