This number is a prime.
|Jeffery Marshall © 2002|
Today, oceans cover 71% of Earth's surface. [Brissenden]
Conway's constant is an algebraic number of degree 71.
A 71-digit prime is formed by intertwining the even (from 2 to 40) and the odd (from 1 to 39) numbers (214365...374039). [De Geest]
71 - 1 = 1 * 2 * 5 * 7 and 71 + 1 = 3 * 4 * 6. Note the products of partitions of consecutive numbers. [Poo Sung]
The smallest prime formed from the concatenation of happy numbers in reverse order. [Gupta]
The largest known prime p such that 2^p doesn't contain the digit 9. [Russo]
Isaac Newton's "Proposition 71" concerns the proof of his assumption that a homogeneous sphere gravitationally attracts a particle external to the sphere as if all its mass were concentrated at its center.
71 divides all values of Ackerman's function A(m,n) for sufficiently large m. This is the largest prime less than a million of which this is (known to be) true. (The only other is 13.) [Hartley]
71 cubed is a concatenation of the first five odd numbers. [Davis]
The smallest prime p such that p4 = q3 + r2 is soluble in positive integers : 714 = 1363 + 47852. [Beedassy]
Mustafa Kemal Atatürk (1881-1938), founder of the Turkish Republic, died from cirrhosis in Istanbul in the opulent Dolmabahïe Palace, built by one of the last sultans, along the European shores of the Bosphorus, in room number 71. Note that concatenations of 1881 with 71; and 1938 with 71 are both prime! [De Geest]
The largest of the supersingular primes, i.e., the set of primes that divide the order of the Monster group (an algebraic construction with 2^46 * 3^20 * 5^9 * 7^6 * 11^2 * 13^3 * 17 * 19 * 23 * 29 *31 * 41 * 47 * 59 * 71 elements).
In 1935, Erdős and Szekeres proved that 71 points (no three on a single line) are required to guarantee there are six that form a convex hexagon, although 17 points are thought to be sufficient. (In 1998, the upper bound was reduced to 37.)
I. M. Pei's 71-foot tall transparent pyramid in the Louvre is mentioned in Dan Brown's The Da Vinci Code (among other fascinating numbers throughout the text). [Haga]
Hotel 71 is a modern urban boutique hotel in Chicago.
The smallest prime that remains prime when inserting one, two, three, or four zeros between each digit. [Capelle]
The smallest prime revrepfigit (reverse replicating fibonacci-like digit) number: 7, 1, 8, 9, 17. [Earls]
Having varied widely over the decades and constantly being narrowed, the Hubble's constant H0 (a measure of the Universe's observed expansion rate) current best estimates revolve around 71 km/s/Mpc (kilometers per second for each megaparsec or about 3.3 million light years away from the Earth). [Beedassy]
The lesser member of the smallest twimirp, i.e., a member of a twin (i.e., differs by 2) emirp pair. In this case, the associated emirps are 17 and 37. [Green]
71 squared can be expressed as the sum of prime powers of two prime numbers: 71^2 = 2^7 + 17^3. [Wagler]
An Indra in the Hindu Pantheon lives for 71 eons. [Haga]
The smallest emirp p which taken together with the pth prime is also an emirp (71353). [Beedassy]
The first occurrence of three successive emirps in the sequence of primes: 71, 73, 79. [Beedassy]
The smallest prime greater than three that is not a member of a sexy pair of primes. [Silva]
The largest known natural number n such that 2n does not contain the prime digit 5. It is also the case for the prime digit 7. [Capelle]
The largest known positive integer n for which the sum of all primes smaller or equal to n divides the sum of all nonprimes smaller or equal to n. It's also the largest known positive integer n for which this sum of primes divides n(n+1)/2. Moreover, it's the only known case where n divides all these numbers. [Capelle]
Place the emirps in order of 71,73,79 to get 17+37+79 = 133 = 7*19 with sum of digits 7+1+9 = 17, which is the first number in 17+37+73. Add 71+73+79=223 with sum of digits 2+2+3=7, the first digit of all 71,73,79. [Bergot]
Largest known prime p such that p^2 is a sum of distinct factorials. If there is a larger one, p^2 must be greater than 48! (about 1.24139 * 10^61). [Post]
Mexico's PRIme political institution, the Institutional Revolutionary Party (PRI) ruled for 71 years (1929-2000). [Post]
71π is closer to a prime than any multiple of π below it. [Blevins]
The least odd number which is neither of the form p*2^m + 1 nor of the form p*2^m - 1 with p prime. [Wesolowski]
Cube of 71 is concatenation of all odd numbers from 3 to 11, i.e., 71^3 = 357911 [Gupta]
71 is the smallest prime p where the pth digit of π after the decimal point is a zero. [Homewood]
There are no nines in the first 71 multiples of 125. Is there any number that has more than 71 nineless first n multiples? [Gaydos]
The first member of the smallest pair of twin emirps. [Silva]
The sum of the first 71 brilliant numbers (35821) is a brilliant number. [Gaydos]