This number is a prime.
10101 + 3 is prime.
Depeche Mode named one of their albums "101". [Gevisier]
101 = 13 + 17 + 19 + 23 + 29 (the sum of five consecutive primes). [De Geest]
Using the alphabet code A = 1, B = 2, C = 3, ... , Z = 26: D + I + V + I + S + I + O + N = 101. [Cox]
101 is the largest known prime of the form 10n + 1. [Kulsha]
The only known prime of the form 10k1. [Goldstein]
The number of digits in the product of the 39 successive primes produced by the formula n2 + n + 41, where n = 1 to 39. This formula was used by Charles Babbage to demonstrate the capabilities of his Difference Engine (1819-1822). [Haga]
Combine two digits of a number in order (from right to left) alternating them with + then -. If the result is 0 or a multiple of 101, the prime number 101 divides it. E.g., Is 575519513 divisible by 101? 13 - 95 + 51 - 75 + 05 = -101. Yes! [Luhn]
The only 3-digit prime such that the sum of each of its digits raised to itself is prime, i.e., 1^101+0^101+1^101 = 2 is prime. [Loungrides]
Queen Elizabeth the Queen Mother was 101 when she died on Easter Saturday 2002. [Croll]
The smallest palindromic prime p such that largest odd factor of p-1 is a non-prime (i.e., composite or 1). [Russo]
The smallest odd prime which can be represented as the sum of a square and its reverse, i.e., 100 + 001 = 101. [Gupta]
The greatest prime factor of any 4-digit repdigit is 101. [La Haye]
In a short section titled "Prime Numbers ... and Monkeys" of Danica McKellar's bestselling book Math Doesn't Suck, the following statement can be found: "It's hard to believe that there's no way to evenly divide up 101, but it's true!"
Christopher Hornsrud, Prime Minister of Norway in 1928, is believed to be the longest lived Prime Minister of any country. He died at age 101. [Duffy]
The number 101^2 + 97^2 +...+ 3^2 + 2^2 is prime. [Patterson]
Aging 101 is a series of general information articles on aging that school teachers and their students can use in a variety of courses. Its intent is to have you make it until at least 101 years of age.
101^101-100^100+99^99-98^98+...-2^2+1^1 is prime. Note that 101 is the only known odd prime p, such that p^p-(p-1)^(p-1)+...-2^2+1^1 is prime. [Firoozbakht]
The last five digits of 101^101 are 10101. [Hu]
101 is the sum of all products p*q involving the four first primes, i.e., 2*3 + 2*5 + 2*7 + 3*5 + 3*7 + 5*7. [Gallardo]
101 is a common solution of the following four equations: 8^N+N=prime, 3^N-2^N=prime, 12^N-11^N=prime, and 75^N-74^N=prime. [Simon]
The first odd prime for which the Mertens function M(n) = 0. [Post]
101 is the first three-digit prime number that can be both read backward and upside-down without being changed. [Mosse]
The smallest prime which requires a multidigit prime number of digits (base 10) and a prime number of chisel strokes as a sans serif Roman numeral. Curiously, this is true whether one considers "C" to be one stroke (a circular arc) or two strokes (like a left angle-bracket or less-than sign). [Post]
The smallest prime with digit 0. [Beedassy]
"Hundred and one" represents one of the 101 partitions of the letters used in this order. [Beedassy]
-101 + 9789837973716761595347434137312923191713117532 is prime. Note the descending concatenation of all primes smaller than 101. [Silva]
The smallest palindromic prime that uses a prime number of distinct nonprime digits. [Beedassy]
It is not unlikely to hear prime numbers discussed on the 101st day of the year.
The smallest prime number that is displayed on a 12-hour digital clock. [Fellows]
The 5th centered decagonal number (numbers of the form 5(n^2 - n) + 1). [Green]
Smallest prime whose every power contain the digit zero in it. [Gupta]
Something 101 (pronounced 'one-oh-one') in popular slang is the beginning or introductory lessons required for any understanding, as in 'Home Buying 101' or 'Prime Numbers 101'. [Green]
The only known prime p such that sigma(p-1) = sigma(p+1) + 1. [Firoozbakht]
|POWERS OF 101 - PASCALINDROMES|
The first five consecutive powers of 101 produce
palindromes. The next 4 consecutive powers of 101
produce 'quasi-palindromes' in the sense of
concatenating several multidigit numbers in reverse
order, but not reversing the digits of those individual
numbers. In all these powers the numbers in the rows
of Pascal's Triangle can be seen in order (with some
zeros thrown in here and there so that each number,
after the first, occupies a two-digit space), hence the
1010 = 1
1011 = 101
1012 = 10201
1013 = 1030301
1014 = 104060401
1015 = 10510100501
1016 = 1061520150601
1017 = 107213535210701
1018 = 10828567056280801
In the classic fairy tale Sleeping Beauty, the lovely princess was awakened back to life by a smitten prince's kiss laid on the 101th year following her accidentally prick-induced trance, in accordance with the attenuated curse. [Beedassy]
The palindromic ZIP Code of Brimfield MA is 101 with a zero on each end.
The only 3-digit number whose digits are neither prime nor composite. [Gudipati]
ROCKY MOUNTAIN * PRIME * in Aurora, Colorado, features "STEAKS & COOKING 101" on their website.
The largest prime with the smallest sum of digits. [Loungrides]
Primitive artist Grandma Moses died at the age of 101.
The Mathematical Association of America offers a book about careers in mathematics titled 101 Careers in Mathematics. So Who Hires Math Majors anyway?
The first of 21 consecutive primes that remain primes if you eliminate their central digit. [Loungrides]
If A = 2 (base 2) = 10, B = 3 (base 3) = 11, C = 5 (base 5) = 12, ..., then "PRIMECURIOS" is 101. [Beedassy]
The (1!*0!*1!)st (1!+0!+1!)-digit prime is 101. [Worrom]
101 is the sum of the first 1001 (base two) primes plus 1. [Kawashima]
www.101science.com is a website serving Science and Technology.
The smallest prime whose cube does not divide at least one ten-digit pandigital number. [Gaydos]
The 101st Fibonacci number ends with 101.
To explore how prime and composite numbers affect us in our everyday lives, students at Northridge Elementary in Longmont, Colorado, took on an interesting design challenge. They were given a scenario in which they had 101 guests to distribute evenly.
Prime Numbers 101: Consider the first four primes, i.e., 2, 3, 5, 7. Now, 2*3 + 5*7 = 41, 2*5 + 3*7 = 31, and 2*7 + 3*5 = 29 (all prime). Let's add them: 41 + 31 + 29 = 101. [Bui Quang Tuan]
The 101st and 102nd centuries are the smallest pair of consecutive centuries to have no years that are powers of other numbers, i.e., no squares, cubes, 4th powers, etc. [Gaydos]
The first to land both pawns on 101 wins in the mathematical board game "Prime Climb."
Floor count of the Shanghai World Financial Center.