1597 (another Prime Pages' Curiosity)
 Curios: Curios Search:   Participate: The largest known Fibonacci emirp. 2^1597 + 2^1583 + 2^1579 + ... + 2^11 + 2^7 + 2^5 + 2^3 + 2^2 + 1 is prime. [Patterson] The largest of 29 consecutive primes of the form 2n2 + 29 for n = 0 to 28. [Terr] There exist positive values of n such that the square root of 1597n2 + 1 is an integer, but you'll need more than a hand-held calculator to find even the smallest solution. Jacopo Peri (1561-1633) wrote the first work to be called an opera today, Dafne (circa 1597, now lost). Note that 1597 is the arithmetic mean between 1561 and 1633. The largest known Fibonacci prime with only odd digits. It has also more distinct odd digits than the others. [Capelle] The 1st American Edition (2009) of SCIENCE: The Definitive Visual Guide by DK Publishing, contains a list of the first 918 prime numbers on page 475. Well, almost; one of the primes (the intended 1597) is missing its first digit! [Johnson] The number n that starts the smallest chain of ten consecutive hypotenuse numbers n, n + 1, n + 2, ..., n + 9 is an emirp. [Beedassy] The smallest distinct-odd digit "extra" center-deletable prime (emirp), i.e., deleting the central double-digit prime, another prime remains. [Loungrides] (There are 2 curios for this number that have not yet been approved by an editor.) Prime Curios! © 2000-2018 (all rights reserved)  privacy statement