[ *June 17, 2001* ]

More Palindromic Sums of Twin Prime Pairs

By Hans Havermann (email)

Hans Havermann tidied up the list of Palindromic Sums Of Twin Prime Pairs.

I have now on display the whole collection up to length 9.

For the larger ones I redirect you to Hans' own webpage

Palindromic Sums of Powers of Consecutive Primes

By now he has more than a million twin-prime pairs!

Here is pair **#1000000** :

2102305820730582011 + 2102305820730582013 =

4204611641461164024

A close look at the list reveals some nice undulating patterns

embedded in the twin pairs and the entire palindromes themselves !

347 + 349 = 696

34847 + 34849 = 69696

348484847 + 348484849 = 696969696

Following are similar constructions I detected.

Can you extend them all up to say five entries for each example ?

3080807 + 3080809 = 6161616

318181817 + 318181819 = 636363636

Are there more beautiful patterns hidden in these twin prime pairs

like for instance with the next nice pair ?

242 242 241 + 242 242 243 = 484 484 484