WON TOPIC 105

World!Of Numbers		WON plate 105 \|
[ June 17, 2001 ] More Palindromic Sums of Twin Prime Pairs 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
A000105 Prime Curios! Prime Puzzle Wikipedia 105 Le nombre 105