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All integers are either even or odd. A square has even multiplicity for all prime factors (it is of the form a 2 for some a ). The first: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 (sequence A000290 in the OEIS ).
The following is a list of all 52 currently known (as of January 2025) Mersenne primes and corresponding perfect numbers, along with their exponents p. The largest 18 of these have been discovered by the distributed computing project Great Internet Mersenne Prime Search , or GIMPS; their discoverers are listed as "GIMPS / name ", where the name ...
The following table lists the first 1000 primes, with 20 columns of consecutive primes in each of the 50 rows. ... Primes p for which p − 1 divides the square of ...
The smallest integer m > 1 such that p n # + m is a prime number, where the primorial p n # is the product of the first n prime numbers. A005235 Semiperfect numbers
1027 = sum of the squares of the first eight primes; can be written from base 2 to base 18 using only the digits 0 to 9. 1028 = sum of totient function for first 58 integers; can be written from base 2 to base 18 using only the digits 0 to 9; number of primes <= 2 13. [25] 1029 = can be written from base 2 to base 18 using only the digits 0 to 9.
Today's NYT Connections puzzle for Sunday, January 19, 2025The New York Times
Sieve of Eratosthenes: algorithm steps for primes below 121 (including optimization of starting from prime's square). In mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit.
Today's Wordle Answer for #1305 on Tuesday, January 14, 2025. Today's Wordle answer on Tuesday, January 14, 2025, is FANCY. How'd you do? Up Next:
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