the k given prime numbers p i must be precisely the first k prime numbers (2, 3, 5.Asterisks indicate superior highly composite numbers.Ģ 2 ⋅ 3 2 The number of divisors is given in the column labeled d( n). What are all prime numbers that are less than 100. Other ways people find this Prime numbers from 1 to 100. The initial or smallest 38 highly composite numbers are listed in the table below (sequence A002182 in the OEIS). Use the Prime Numbers Before Calculator below to discover if any given number is prime or composite and get all the primes up to 100. Of the form pn + 1 (a subset of primorial primes). The mathematician Jean-Pierre Kahane suggested that Plato must have known about highly composite numbers as he deliberately chose such a number, 5040 (= 7!), as the ideal number of citizens in a city. The name 'emirp' is obtained by reversing the word 'prime'. Ramanujan wrote a paper on highly composite numbers in 1915. The name can be somewhat misleading, as the first two highly composite numbers (1 and 2) are not actually composite numbers however, all further terms are. A related concept is that of a largely composite number, a positive integer which has at least as many divisors as any smaller positive integer. Demonstration, with Cuisenaire rods, of the first four: 1, 2, 4, 6Ī highly composite number is a positive integer with more divisors than any smaller positive integer has.
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