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GIMPS has discovered a new largest known prime number: 2^{82589933}1 (24,862,048 digits) The largest palindromic twosided prime (both right and lefttruncatable). [Gupta] The only smoothly undulating palindromic prime less than a googol of the form 7(97)_{k}. [Loungrides] A palindromic prime as "father" for a 5chain (797,179,131,11,2) of primes: sum of squared digits of predecessor has to be a prime again and gives successor which is repeated as long as possible and ends here in only even and smallest prime. [Herault] The smallest palindromic prime that is sum of two consecutive multidigit palindromes: {393 and 404}. [Bajpai] This prime is formed from the largest primes of one and two digits. The sum of its digits is the prime formed from the first two prime digits. [Silva] In a room of 797 people, a greater than 50% chance exists that eight of the people will share a common birthday. Largest palindromic prime such that sum of its digits is greater than number of palindromic primes up to it. [Gupta]
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