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(sequence A001045 in the OEIS) A Jacobsthal prime is a Jacobsthal number that is also prime. The first Jacobsthal primes are: 3, 5, 11, 43, 683, 2731, 43691...

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that...

Fermat prime, as it is of the form 2 2 n + 1 {\displaystyle 2^{2^{n}}+1} with n = 2 {\displaystyle n=2} . On the other hand, the seventeenth Jacobsthal–Lucas...

2,796,203 = Wagstaff prime, Jacobsthal prime 2,825,761 = 16812 = 414 2,890,625 = 1-automorphic number 2,922,509 = Markov prime 2,985,984 = 17282 = 1443...

= number of reduced trees with 38 nodes 715,827,883 = Wagstaff prime, Jacobsthal prime 725,594,112 = number of primitive polynomials of degree 36 over...

mathematics, Jacobsthal sums are finite sums of Legendre symbols related to Gauss sums. They were introduced by Jacobsthal (1907). The Jacobsthal sum is given...

2731 – the only Wagstaff prime with four digits, Jacobsthal prime 2736 – octahedral number 2741 – Sophie Germain prime, 400th prime number 2744 = 143, palindromic...

In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some...

Hence χ(0) = 0, χ(1) = χ(2) = χ(4) = 1, and χ(3) = χ(5) = χ(6) = −1. The Jacobsthal matrix Q for GF(q) is the q × q matrix with rows and columns indexed by...

This sieve is similar to the Sieve of Eratosthenes that generates the primes, but it eliminates numbers based on their position in the remaining set...

Erich Jacobsthal (16 October 1882, Berlin – 6 February 1965, Überlingen) was a German mathematician, and brother to the archaeologist Paul Jacobsthal. In...

number that is prime is called a double Mersenne prime. Since a Mersenne number Mp can be prime only if p is prime, (see Mersenne prime for a proof), a...

a prime power is a positive integer which is a positive integer power of a single prime number. For example: 7 = 71, 9 = 32 and 64 = 26 are prime powers...

product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers. Because there...

balanced prime, an irregular prime, a prime that is one more than a square, and a Jacobsthal–Lucas number. Four-fold 257 is 1028, which is the prime index...

given prime numbers pi must be precisely the first k prime numbers (2, 3, 5, ...); if not, we could replace one of the given primes by a smaller prime, and...

concatenating the first 128 prime numbers, through 719. The primes at the end of the concatenation in the Smarandache–Wellin primes are 2, 3, 7, 719, 1033...

γ, δ, and ρ such that α = βγ · δ + ρ such that 0 < δ < β and ρ < βγ. Jacobsthal showed that the only solutions of αβ = βα with α ≤ β are given by α =...

L5466311, with 1,142,392 decimal digits. If Ln is prime then n is 0, prime, or a power of 2. L2m is prime for m = 1, 2, 3, and 4 and no other known values...

0)\\8&2P(2)+3P(1)+2P(0)&P(2)-2P(1)+P(0)\end{array}}} The first fourteen prime Perrin numbers are In 1876 the sequence and its equation were initially...