Karl Sabbagh, The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics | 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 |
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Primes with a prime index in the sequence of prime numbers the 2nd, 3rd, 5th, | 23, 29, 59, 61, 67, 71, 79, 83, 109, 137, 139, 149, 193, 227, 233, 239, 251, 257, 269, 271, 277, 293, 307, 311, 317, 359, 379, 383, 389, 397, 401, 419, 431, 449, 461, 463, 467, 479, 499 Primes for which there are more prime permutations of some or all the decimal digits than for any smaller number |
Primes that remain prime when the last decimal digit is successively removed.
13That means 24,739,954,287,740,860 primes, but they were not stored | 5, 11, 17, 29, 37, 41, 53, 59, 67, 71, 97, 101, 127, 149, 179, 191, 223, 227, 251, 257, 269, 307 that are prime |
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Also called primes congruent to d a | 13, 37, 73, 181, 337, 433, 541, 661, 937, 1093, 2053, 2281, 2521, 3037, 3313, 5581, 5953, 6337, 6733, 7561, 7993, 8893, 10333, 10837, 11353, 12421, 12973, 13537, 15913, 18481 Primes that are not the sum of a smaller prime and twice the square of a nonzero integer |
3, 7, 11, 19, 23, 31, 43, 47, 59, 67, 71, 79, 83, 103, 107, 127, 131, 139, 151, 163, 167, 179, 191, 199, 211, 223, 227, 239, 251, 263, 271, 283, 307, 311, 331, 347, 359, 367, 379, 383, 419, 431, 439, 443, 463, 467, 479, 487, 491, 499, 503 primes 17 The only prime Genocchi number is 17 and -3 if negative primes are included.
from WIMS is an online prime generator | 11, 1111111111111111111, 11111111111111111111111 The next have 317 and 1031 digits |
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2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 43, 47, 53, 59, 61, 67, 71, 79, 101, 107, 127, 131, 139, 149, 151, 157, 173, 181, 191, 197, 199, 211, 223, 229, 263, 269, 277, 283, 311, 317, 331, 347, 349 primes Primes that are a more often than any integer below it except 1 | 2 is therefore sometimes called "the oddest prime" as a pun on the non-mathematical meaning of "" |
From Euclid to Hardy and Littlewood.
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