The numbers 199989394, 199989404 and 199989464 begin with the digits 394, 404, and 464 respectively.
404 is the HTTP status code for "file not found," perhaps the most famous HTTP status code.
Source: Number Gossip
Friday, May 29, 2009
404
404 = 22 x 101.
The numbers 199989394, 199989404 and 199989464 begin with the digits 394, 404, and 464 respectively.
404 is the HTTP status code for "file not found," perhaps the most famous HTTP status code.
Source: Number Gossip
The numbers 199989394, 199989404 and 199989464 begin with the digits 394, 404, and 464 respectively.
404 is the HTTP status code for "file not found," perhaps the most famous HTTP status code.
Source: Number Gossip
Thursday, May 28, 2009
317
"317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is so, because mathematical reality is built that way." (G. H. Hardy, A Mathematician's Apology, 1940)
The sum of the squares of the digits of the prime 317 is 59, another prime. Note that all odd digits are present.
317, 31, and 3 are prime numbers and so are 17 and 7.
Former pitching ace Walter "Big Train" Johnson once hurled a coin 317 feet across the Rappahannock River in Virginia.
Source: Prime Curios!
The sum of the squares of the digits of the prime 317 is 59, another prime. Note that all odd digits are present.
317, 31, and 3 are prime numbers and so are 17 and 7.
Former pitching ace Walter "Big Train" Johnson once hurled a coin 317 feet across the Rappahannock River in Virginia.
Source: Prime Curios!
Wednesday, May 27, 2009
235
235 = 5 x 47.
235 is the concatenation of the base 10 representations of the first three primes, and thus a Smarandache-Wellin number.
235 is the smallest number such that the set of its square's digits is a proper subset of the set of its own digits: 2352 = 55225 = (5 + 5 + 225)2.
235 is the smallest number whose first two digits are distinct primes such that their sum equals the third digit.
On average, 19 solar years (228 solar months) is almost exactly 235 lunar months.
Source: Number Gossip
235 is the concatenation of the base 10 representations of the first three primes, and thus a Smarandache-Wellin number.
235 is the smallest number such that the set of its square's digits is a proper subset of the set of its own digits: 2352 = 55225 = (5 + 5 + 225)2.
235 is the smallest number whose first two digits are distinct primes such that their sum equals the third digit.
On average, 19 solar years (228 solar months) is almost exactly 235 lunar months.
Source: Number Gossip
Tuesday, May 26, 2009
117
117 = 32 x 13.
117 is the smallest possible value of the longest edge in an integer Heronian Tetrahedron. A Heronian tetrahedron, also called a perfect tetrahedron, is a (not necessarily regular) tetrahedron whose sides, face areas, and volume are all rational numbers.
117 is the smallest possible value of the longest edge in an integer Heronian Tetrahedron. A Heronian tetrahedron, also called a perfect tetrahedron, is a (not necessarily regular) tetrahedron whose sides, face areas, and volume are all rational numbers.
1172 + 2 and 1172 – 2 are prime numbers.
117 can be written as the difference of prime squares (112 – 22) or prime cubes (53 – 23).
Source: Prime Curios!
Friday, May 22, 2009
43
43 is a prime number.
43 is the smallest prime formed from reverse concatenation of two consecutive numbers.
The first 43 digits of 43! form a prime number.
It is possible to form three sums of primes with the prime value of 43 using the ten first primes: 2+5+7+29 = 3+17+23 = 11+13+19 = 43.
London was founded as the Roman town of Londinium in 43 A.D.
Source: Prime Curios!
43 is the smallest prime formed from reverse concatenation of two consecutive numbers.
The first 43 digits of 43! form a prime number.
It is possible to form three sums of primes with the prime value of 43 using the ten first primes: 2+5+7+29 = 3+17+23 = 11+13+19 = 43.
London was founded as the Roman town of Londinium in 43 A.D.
Source: Prime Curios!
Thursday, May 21, 2009
990
990 = 2 x 32 x 5 x 11.
990 is a triangular number, the sum of the first 44 positive integers.
990 is the product of three consecutive integers: 9 x 10 x 11 = 990.
990 is the sum of six consecutive primes: 151 + 157 + 163 + 167 + 173 + 179 = 990.
A prime magic square with magic sum 990:
Composed of distinct primes, it is both pandiagonal and symmetrical.
990 is the best possible VantageScore credit rating.
Source: Prime Curios!
990 is a triangular number, the sum of the first 44 positive integers.
990 is the product of three consecutive integers: 9 x 10 x 11 = 990.
990 is the sum of six consecutive primes: 151 + 157 + 163 + 167 + 173 + 179 = 990.
A prime magic square with magic sum 990:
Composed of distinct primes, it is both pandiagonal and symmetrical.
990 is the best possible VantageScore credit rating.
Source: Prime Curios!
Wednesday, May 20, 2009
Tuesday, May 19, 2009
417
417 = 3 x 139.
417 is the smallest integer n such that n, n + 1, n + 2, and n + 3 all have different numbers of distinct prime factors: 417 = 3 x 139; 418 = 2 x 11 x 19; 419 is a prime; 420 = 22 x 3 x 5 x 7.
Source: Prime Curios!
417 is the smallest integer n such that n, n + 1, n + 2, and n + 3 all have different numbers of distinct prime factors: 417 = 3 x 139; 418 = 2 x 11 x 19; 419 is a prime; 420 = 22 x 3 x 5 x 7.
Source: Prime Curios!
Friday, May 15, 2009
260
260 = 22 x 5 x 13.
The sum of the first 260 primes minus the sum of the gaps between them is a prime number.
260 is the number of ways that six non-attacking bishops can be placed on a four-by-four chessboard.
The number of weekdays in a year is 260, 261, or 262.
Source: Prime Curios!
The sum of the first 260 primes minus the sum of the gaps between them is a prime number.
260 is the number of ways that six non-attacking bishops can be placed on a four-by-four chessboard.
The number of weekdays in a year is 260, 261, or 262.
Source: Prime Curios!
Thursday, May 14, 2009
15
15 = 3 x 5.
15 is a triangular number, the sum of the first five positive integers: 1 + 2 + 3 + 4 + 5 = 15.
7 can be partitioned in 15 ways.
A three-by-three magic square has the magic constant 15 (the sum of each row, column, or diagonal).
For n greater than 15, at least one number between n and 2n is the product of three different primes.
Source: Number Gossip
15 is a triangular number, the sum of the first five positive integers: 1 + 2 + 3 + 4 + 5 = 15.
7 can be partitioned in 15 ways.
A three-by-three magic square has the magic constant 15 (the sum of each row, column, or diagonal).
For n greater than 15, at least one number between n and 2n is the product of three different primes.
Source: Number Gossip
Wednesday, May 13, 2009
349
349 is a prime number.
349 is the sum of three consecutive primes: 109 + 113 + 127 = 349.
The number of seats in the Swedish parliament is 349.
Source: Wikipedia
349 is the sum of three consecutive primes: 109 + 113 + 127 = 349.
The number of seats in the Swedish parliament is 349.
Source: Wikipedia
Tuesday, May 12, 2009
163
163 is a prime number.
163 is the smallest three-digit number whose square (26569) and cube (4330747) use different digits.
163 is conjectured to be the largest prime that can be represented uniquely as the sum of three squares (if squares are allowed to be zero): 163 = 12 + 92 + 92.
163 is the smallest score impossible to make using up to but not more than three darts.
Source: Prime Curios!
163 is the smallest three-digit number whose square (26569) and cube (4330747) use different digits.
163 is conjectured to be the largest prime that can be represented uniquely as the sum of three squares (if squares are allowed to be zero): 163 = 12 + 92 + 92.
163 is the smallest score impossible to make using up to but not more than three darts.
Source: Prime Curios!
Monday, May 11, 2009
30
30 = 2 x 3 x 5.
30 is the smallest number with three distinct prime divisors.
30 is a pyramidal number (the sum of all squares of integers from 1 to 4): 30 = 12 + 22 + 32 + 42.
A dodecahedron is a Platonic solid with 30 edges.
Source: Number Gossip
30 is the smallest number with three distinct prime divisors.
30 is a pyramidal number (the sum of all squares of integers from 1 to 4): 30 = 12 + 22 + 32 + 42.
A dodecahedron is a Platonic solid with 30 edges.
Source: Number Gossip
Friday, May 8, 2009
73
73 is a prime number.
73 is the least number of sixth powers needed to represent every possible integer.
73 is the smallest number (besides 1) that is one less than twice its reverse: 2 x 37 – 1 = 73.
73 is the alphanumeric value of the word NUMBER: 14 + 21 + 13 + 2 + 5 + 18 = 73.
Pi Day occurs on the 73rd day of the year (March 14), except during leap years.
Source: Number Gossip
73 is the least number of sixth powers needed to represent every possible integer.
73 is the smallest number (besides 1) that is one less than twice its reverse: 2 x 37 – 1 = 73.
73 is the alphanumeric value of the word NUMBER: 14 + 21 + 13 + 2 + 5 + 18 = 73.
Pi Day occurs on the 73rd day of the year (March 14), except during leap years.
Source: Number Gossip
Thursday, May 7, 2009
420
420 = 22 x 3 x 5 x 7.
420 is the smallest number divisible by 1 through 7.
420 is the sum of four consecutive primes: 101 + 103 + 107 + 109 = 420.
420 is the smallest argument for which Euler’s prime generating polynomial p(n) = n2 + n + 41 has more than two prime factors: p(420) = 176861 = 71 x 53 x 47. For all smaller arguments, p(n) is either prime or semiprime.
In sailing, the 420 (dinghy) is a class of doublehanded racing sailboats.
Source: Prime Curios!
420 is the smallest number divisible by 1 through 7.
420 is the sum of four consecutive primes: 101 + 103 + 107 + 109 = 420.
420 is the smallest argument for which Euler’s prime generating polynomial p(n) = n2 + n + 41 has more than two prime factors: p(420) = 176861 = 71 x 53 x 47. For all smaller arguments, p(n) is either prime or semiprime.
In sailing, the 420 (dinghy) is a class of doublehanded racing sailboats.
Source: Prime Curios!
Wednesday, May 6, 2009
1306
1306 = 2 x 653.
1306 is the smallest four-digit number that is the sum of its digits to progressive powers: 1306 = 11 + 32 + 03 + 64.
In the year 1306, Robert the Bruce was crowned King of Scotland.
Source: Number Gossip
1306 is the smallest four-digit number that is the sum of its digits to progressive powers: 1306 = 11 + 32 + 03 + 64.
In the year 1306, Robert the Bruce was crowned King of Scotland.
Source: Number Gossip
Tuesday, May 5, 2009
634
634 = 2 x 317.
634 is a Smith number. The sum of its digits equals the sum of the digits appearing in its prime divisors: 6 + 3 + 4 = 2 + 3 + 1 + 7 = 13.
The fifth root of 634 has a decimal part that begins with the digits 634.
Source: Number Gossip
634 is a Smith number. The sum of its digits equals the sum of the digits appearing in its prime divisors: 6 + 3 + 4 = 2 + 3 + 1 + 7 = 13.
The fifth root of 634 has a decimal part that begins with the digits 634.
Source: Number Gossip
Monday, May 4, 2009
116
116 = 22 x 29.
116! + 1 is a prime number.
The Hundred Years' War between France and England lasted 116 years, with periodic truces, from 1337 to 1453.
Source: Prime Curios!
116! + 1 is a prime number.
The Hundred Years' War between France and England lasted 116 years, with periodic truces, from 1337 to 1453.
Source: Prime Curios!
Friday, May 1, 2009
28
28 = 22 x 7.
28 is the second perfect number. It is the only even perfect number of the form x3 + 1.
28 is the sum of the first five prime numbers: 2 + 3 + 5 + 7 + 11 = 28.
28 is the seventh triangular number.
A standard domino set contains 28 dominoes.
Source: Number Gossip
28 is the second perfect number. It is the only even perfect number of the form x3 + 1.
28 is the sum of the first five prime numbers: 2 + 3 + 5 + 7 + 11 = 28.
28 is the seventh triangular number.
A standard domino set contains 28 dominoes.
Source: Number Gossip
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