# 701

This number is a prime.

701, 7001, 70001, and 700001 are each prime. [Brown]

2^{701} + 701 is prime. [Honaker and
De Geest]

This prime can be written as 5^{4} + 4^{3} + 3^{2} + 2^{1} + 1^{0}. [Kulsha]

The number of named openings and variations listed in the 1987 edition of *The Oxford Companion to Chess* by Hooper and Whyld. [McCranie]

There are 701 types of pure breed dogs according to "The Little Giant Book of Animal Facts" by Glen Vechione.

The number of UFO cases that Project Blue Book left classified as "unknown." [McCranie]

The IBM 701 was the company's first production-line electronic digital computer. (It was announced to the public in 1952.)

Smallest prime whose square (701^2 = 491401) contains all of square digits only. [Gupta]

The smallest emirp *p* such that 2^{p}
has a sum of digits that is also an emirp (941). [Beedassy]

e (2.718...) to the power phi (Golden ratio 1.618...) is approximately 5. A much better approximation is given by 701/139, both numbers prime. [Menhinick]

If A=2, B=3, C=5, D=7, ... , Z=101, then 'AN ISOLATED PRIME NUMBER' is an isolated prime number. [Homewood]

701 decillion has a Collatz trajectory length of 701. [Gaydos]

'PRIME NUMBER' is a prime number if we use the Hebrew alphabet as an alpha numeric code. [Homewood]

Carmine Suriano found a prime number p = 701 whose fifth power is the sum of a positive square and cube: p^5 = x^2 + y^3, where x, y > 0. (Can you figure out the values for x and y?)