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The first flyby of another planet with a functioning spacecraft took place on December 14, 1962, when Mariner 2 zoomed by the planet Venus. [ 2 ] Planetary flybys are commonly used as gravity assist maneuvers to "slingshot" a space probe toward its primary target without expending fuel, but in some cases (such as with New Horizons ), flybys are ...
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Prime gap frequency distribution for primes up to 1.6 billion. Peaks occur at multiples of 6. [1]A prime gap is the difference between two successive prime numbers.The n-th prime gap, denoted g n or g(p n) is the difference between the (n + 1)-st and the n-th prime numbers, i.e.
A prime divides if and only if p is congruent to ±1 modulo 5, and p divides + if and only if it is congruent to ±2 modulo 5. (For p = 5, F 5 = 5 so 5 divides F 5) . Fibonacci numbers that have a prime index p do not share any common divisors greater than 1 with the preceding Fibonacci numbers, due to the identity: [6]
The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime. [1] This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime. [ 2 ]
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Note that the term “prime” does not reference the USDA grading system, which dictates that prime beef must contain eight to 13% fat. Rather, the term is called “prime” because it comes ...
A prime number is a natural number that has no natural number divisors other than the number 1 and itself.. To find all the prime numbers less than or equal to a given integer N, a sieve algorithm examines a set of candidates in the range 2, 3, …, N, and eliminates those that are not prime, leaving the primes at the end.