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71 (another Prime Pages' Curiosity) |
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71 = (4! + 4.4)/.4 71 divides the sum of primes 2 + 3 + 5 + 7 + 11 + ... + 67 + 71. Today, oceans cover 71% of Earth's surface. [Brissenden] The Citizen Band (CB) Ten-Code 10-71 translates to 'Proceed with transmission in sequence.' [Foster] An Indra in the Hindu Pantheon lives for 71 eons. [Haga] Only 7-1 of the 71 repfigit numbers less than 10^19 are prime.
Divide 71 by the thirtieth prime number and multiply by the third prime number and you get 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 repunit R71=(1071-1)/9 is a semiprime and therefore relatively hard to factor. Note that its smallest factor contains all of the digits, except 7 + 1. 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). The Sanhedrin was a judicial or legislative body, usually comprised of 71 members, which met during the period of early Judaism through the rabbinic era. In 1935, Erdös 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.) [Hoffman] Clint Eastwood is Inspector 71 in the movie Dirty Harry ('71). Between July 1948 and August 1950, Warwickshire leg spinner Eric Hollies batted a record 71 innings without once reaching double figures. Unique two-digit prime p such that (p^p-p!)/p is prime. [Gallardo] 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. [Earls] The smallest prime number which is expressible as a sum of successive composite numbers in exactly two ways: 71 = 22+24+25 = 35+36. [Seidov]
(There is one curio for this number that has not yet been approved by an editor.)
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to the first 7 - 1 decimal places. [