Search results
Results from the WOW.Com Content Network
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression.
As of 2020, the longest known arithmetic progression of primes has length 27: [4] 224584605939537911 + 81292139·23#·n, for n = 0 to 26. (23# = 223092870) As of 2011, the longest known arithmetic progression of consecutive primes has length 10. It was found in 1998. [5] [6] The progression starts with a 93-digit number
He wrote Uttan Gadit (in Sanskrit) that was used for calculation of solar and lunar eclipses. This book was revised by Padma Nav Keshari Aryal in 1934 A.D. [8] Pd. Gopal Pandey (1883–1914) was the first person to write a book in Nepali about mathematics. He wrote four editions of his book in Nepali. The third edition was also published in Hindi.
Linnik's theorem (1944) concerns the size of the smallest prime in a given arithmetic progression. Linnik proved that the progression a + nd (as n ranges through the positive integers) contains a prime of magnitude at most cd L for absolute constants c and L. Subsequent researchers have reduced L to 5.
In number theory, primes in arithmetic progression are any sequence of at least three prime numbers that are consecutive terms in an arithmetic progression. An example is the sequence of primes (3, 7, 11), which is given by a n = 3 + 4 n {\displaystyle a_{n}=3+4n} for 0 ≤ n ≤ 2 {\displaystyle 0\leq n\leq 2} .
Detroit Lions wide receiver Jameson Williams has been fined $19,697 by the NFL for "Unsportsmanlike Conduct (obscene gestures)" for his dive into the end zone last week against the Jacksonville ...
The problems involve arithmetic, algebra and geometry, including mensuration. The topics covered include fractions, square roots, arithmetic and geometric progressions, solutions of simple equations, simultaneous linear equations, quadratic equations and indeterminate equations of the second degree. [10] [12]
There has been separate computational work to find large arithmetic progressions in the primes. The Green–Tao paper states 'At the time of writing the longest known arithmetic progression of primes is of length 23, and was found in 2004 by Markus Frind, Paul Underwood, and Paul Jobling: 56211383760397 + 44546738095860 · k ; k = 0, 1 ...