WON plate221 | World!OfNumbers [ September 10, 2022 ] Invitation for factorizing Smoothly Undulating Palindromes (SUP's) and finding ever larger Near Smoothly Undulating Primes (NSUP's) Patrick De Geest 1 A while ago I started a factorization project based on Hisanori Mishima's work that seems to be discontinued. The intent is to find the prime factors of all the Smoothly Undulating Palindromes (prime cases SUPP's and by extension all composite SUP's as well). Only a handful remain among these palindromes with less than 200 digits that still needs factoring. An overview is available and can be reached via this webpage Smoothly Undulating Palprimes Feel free to participate in this project. Let me know if you are interested and I will reserve the number for you. If this is not your thing then maybe you know others who are dedicated number crackers. Spread the message. 2 If the above is not your cup of tea then maybe you like to find ever larger but very rare prime NSUP's (Near Smoothly Undulating Palindromes). The formulae are to be found in the tables of the following pages: undulat.htm with 2-digit undulators Record prime so far $$\bbox[#f0f8ff,5px,border:2px solid teal]{\ (45*10^{29029}-54) \over (99*2)}$$ undulsix.htm with 6-digit undulators Record prime so far $$\bbox[#f0f8ff,5px,border:2px solid teal]{\ (52*10^{43929}-25) \over (99*3*5^2*7)}$$ undulmore.htm with 22-digit undulators Record prime so far $$\bbox[#f0f8ff,5px,border:2px solid teal]{\ (83*10^{48433}-38) \over (99*2*11)}$$ 3 This is the odd one out. Makoto Kamada maintains a page about the factorization of Plateau and Depression Palindromes of the form ABB...BBA at the following address: https://stdkmd.net/nrr/abbba.htm He covers all possible combinations except factorization of 533...335 (because his script does not support the longer algebraic factorization (sum of 5th powers)). Now I manually created that missing page facpdp535.htm and anyone is invited to find missing primefactors for that list as well. A000221 Prime Curios! Prime Puzzle Wikipedia 221 Le nombre 221




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Patrick De Geest - Belgium - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com