683 (another Prime Pages' Curiosity)
 Curios: Curios Search:   Participate: GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits) If we place 11 in the formula 2^p-1, we get the composite Mersenne number 2047, but if we place 11 in the formula (2^p+1)/3 [p is an odd prime], we get the prime number 683. 683 = prime(6*8*3) - 6*8*3. Note that the prime 683 is the smallest number greater than one with this property. Note that the next such number is also prime. [Firoozbakht] The smallest number with complexity of height 5: 683 -1-> 22 -2-> 10 -3-> 7 -4-> 6 -5-> 5. [Beedassy] Regarding light, the maximum possible efficacy is 683 lumens per watt which corresponds to an efficiency of 100%. [Homewood] There are 683 six-digit squares. [Gaydos] (There are 2 curios for this number that have not yet been approved by an editor.)   To link to this page use /curios/page.php?number_id=3618 Prime Curios! © 2000-2019 (all rights reserved)  privacy statement   (This page was generated in 0.0087 seconds.)