Pierpont prime information

In number theory, a Pierpont prime is a prime number of the form 2 u ⋅ 3 v + 1 {\displaystyle 2^{u}\cdot 3^{v}+1\,} for some nonnegative integers u and...

This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than...

the prime factors of n {\displaystyle n} are any number of copies of 2 or 3 together with a (possibly empty) set of distinct Pierpont primes, primes of...

regular polygons using basic tools (e.g., through the use of Fermat or Pierpont primes). 2 {\displaystyle 2} is the only number such that the sum of the reciprocals...

approximately 0.8710 of its circumscribed circle. As 7 is a Pierpont prime but not a Fermat prime, the regular heptagon is not constructible with compass...

{13}{4}}a^{2}\cot {\frac {\pi }{13}}\simeq 13.1858\,a^{2}.} As 13 is a Pierpont prime but not a Fermat prime, the regular tridecagon cannot be constructed using a compass...

is not a Fermat prime, the regular hendecagon is not constructible with compass and straightedge. Because 11 is not a Pierpont prime, construction of...

Fermat primes. Double exponential function Lucas' theorem Mersenne prime Pierpont prime Primality test Proth's theorem Pseudoprime Sierpiński number Sylvester's...

trisection, on account of the number 23 being neither a Fermat nor Pierpont prime. In addition, the regular icositrigon is the smallest regular polygon...

"a not inconsiderable error". Angle trisection Constructible polygon Pierpont prime Quadratrix Steel square Tomahawk (geometry) Trisectrix Benjamin, Elliot;...

\mathbb {N} } , where each distinct p i {\displaystyle p_{i}} is a Pierpont prime. The symmetry group of an n-sided regular polygon is dihedral group...

non-negative integers and m is a product of zero or more distinct Pierpont primes (primes of the form 2r3s+1). Therefore, regular n-gon admits a solid, but...

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...

trisector, as the number of sides is neither a product of distinct Pierpont primes, nor a product of powers of two and three. Like René Descartes's example...

trisector, as the number of sides is neither a product of distinct Pierpont primes, nor a product of powers of two and three. The regular myriagon has...

trisector, as the number of sides is neither a product of distinct Pierpont primes, nor a product of powers of two and three. Therefore, construction...

p_{k},} where r, s, k ≥ 0 and where the pi are distinct Pierpont primes greater than 3 (primes of the form 2 t 3 u + 1 ) . {\displaystyle 2^{t}3^{u}+1)...

In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem...

{\displaystyle m} and n {\displaystyle n} with p {\displaystyle p} a product of Pierpont primes, a regular nonagon is constructed with a regular compass, straightedge...

mathematics, a primorial prime is a prime number of the form pn# ± 1, where pn# is the primorial of pn (i.e. the product of the first n primes). Primality tests...

where the pi are distinct primes greater than 3 of the form 2 t 3 u + 1 {\displaystyle 2^{t}3^{u}+1} (i.e. Pierpont primes greater than 3).: Thm. 2  Bisection...