Prime number

Prime number

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. The property of being prime is called primality. As of December 2018 the largest known prime number was a Mersenne prime with 24,862,048 decimal digits.

About Prime number in brief

Summary Prime number

prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. Primes are central in number theory because of the fundamental theorem of arithmetic. The property of being prime is called primality. As of December 2018 the largest known prime number was a Mersenne prime with 24,862,048 decimal digits. There are infinitely many primes, as demonstrated by Euclid around 300 BC. The set of all primes is sometimes sometimes denoted by 5 or 5. The other numbers that end in 0, 2, 4, 6, or 5 are divisible by 5. All prime numbers are larger than 5, when written in the usual decimal system, and all other numbers end in 1, 3, 7, or 9. The first 25 prime numbers greater than 25 are: No 1, No 2, No 3, No 4, No 5, No 6, No 7, No 8, No 9, No 10, No 11, No 12, No 13, No 14, No 15, No 16, No 17, No 18, No 19, No 20, No 21, No 22, No 23, No 24, No 25, No 26, No 27, No 28, No 29, No 30, No 31, No 32, No 33, No 34, No 35, No 36, No 38, No 39, No 40, No 41, No 42, No 43, No 44, No 45, No 46, No 47, No 48, No 49, No 50, No 51, No 52, No 53, No 54, No 55, No 56, No 57, No 58, No 59, No 60, No 61, No 62, No 63, No 64, No 69, No 70, No 74, No 79, No 80, No 81, No 82, No 83, No 84, No 85, No 88, No 89, No 90, No 91, No 92, No 93, No 94, No 95, No 96, No 98, No 99, No 102, No 103, No 104, No 105, No 106, No 107, No 108, No 109, No 110, No 111, No 112, No 113, No 114, No 115, No 116, No 117, No 118, No 119, No 130, No 131, No 138, No 139, No 140, No 149, No 150, No 151, No 158, No 159, No 168, No 169, No 180, No 181, No 190, No 188, No 189, No 199, No 200, No 210, No 211, No 204, No 205, No 206, No207, No208, No 209, No209, No210, No205, No220, No206, No211, No215, No216, No223, No229, No230, No226, No227, No228, No234, No225, No236, No237, No26, No27, No28, No29, No280, No301, No300, No308, No303, No318, No310, No309, No30, No306, No307, No328, No329, No374, No348, No349, No401, No4, No5, No6, No7, No8, No9, No1, No10, No11, No12, No13, No14, No15, No19, No20, No21, No22, No3, No24, No25, No31, No36, No37, No38, No39, No40, No45, No41, No46, No47, No48, No49, No50, No51, No55, No52, No53, No54, No56, No57, No58, No59, No559, No60, No529, No535, No517, No528, No537, No538, No588, No589, No599, No570, No600, No606, No607, No609, No620, No613, No628, No629, No580, No623, No614, No630, No565, No577, No618, No605, No612, No610, No625, No648, No635, No617, No548, No597, No699, No578, No1960, No616, No649, No680, No512, No645, No627, No568, No579, No530, No533, No540, No536, No525, No553, No546, No587, No520, No549, No601, No556, No583, No585, No576, No598, No603, No507, No508, No608,