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131 (another Prime Pages' Curiosity) |
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will be down at times on those day (and possibly the next). (caldwell@utm.edu) A rare prime of the form 2p + 3, where p is prime. [Luhn] The 32nd prime. Note that 1 + 3 + 1 = 3 + 2. The least integer such that the sum of its digits in every base B = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 is prime. [Crespi de Valldaura] Locomotive number 131 plunges off the edge of a ravine in the sci-fi movie BACK to the FUTURE PART III. The sum of 2 + 3 + 4 + ... + 19 minus the sum of primes less than 19. [Trotter] The minimum prime p such that p + 1 each has exactly 3 distinct prime factors. [Das] Iodine-131 is a radioactive isotope used in thyroid disease diagnosis and therapy. [Barnhart] The 131st Fibonacci number (1066340417491710595814572169) is the smallest Fibonacci prime which contains all the digits from 0 to 9. [Wu] The smallest multidigit palindromic prime that yields another prime by placing a 7 on both sides (as leading and trailing digits). [Russo]
The sum of three two-digit primes (31 + 41 + 59) whose concatenation is the decimal expansion of (2! + 1) + (3! + 1) + (5! + 1) = 131. This is equivalent to 3 + 7 + 11^2. [La Haye] 131 = 41 + 43 + 47 and is the smallest prime number which is sum of primes that begin with the digit 4. Note that 41, 43 and 47 are consecutive primes. [Capelle] The smallest palindromic prime with three primes embedded in it (13, 3 and 31) [Necula] The nematode Caenorhabditis elegans hermaphrodite has exactly 131 cells that are eliminated by programmed cell death (apoptosis). [Haga] The smallest palindromic super-2 number, i.e., an integer n such that 2n^2 contains 2 consecutive 2s in its decimal representation. [De Geest] The sum of the first 131 non-primes is prime. [Patterson] 131 = (1^0+3^0+1^0) + (1^1+3^1+1^1) + (1^2+3^2+1^2) + (1^3+3^3+1^3) + (1^4+3^4+1^4). Note that the summands are all primes. [Silva] The smallest prime number appearing after the concatenation of the two preceding prime numbers (113 and 127). [Capelle] The smallest palindromic prime that yields another if the sum of digits of its consecutive digits is sandwiched between each of the corresponding consecutive digits (i.e., 131 becomes 14341). [Silva] A prime Ulam number that is the sum of two consecutive Ulam numbers (62 + 69 = 131). Can you find a greater prime example?
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