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The smallest integer m > 1 such that p n # + m is a prime number, where the primorial p n # is the product of the first n prime numbers. A005235 Semiperfect numbers
The look-and-say sequence is also popularly known as the Morris Number Sequence, after cryptographer Robert Morris, and the puzzle "What is the next number in the sequence 1, 11, 21, 1211, 111221?" is sometimes referred to as the Cuckoo's Egg , from a description of Morris in Clifford Stoll 's book The Cuckoo's Egg .
Demonstration of the practicality of the number 12. In number theory, a practical number or panarithmic number [1] is a positive integer such that all smaller positive integers can be represented as sums of distinct divisors of . For example, 12 is a practical number because all the numbers from 1 to 11 can be expressed as sums of its divisors ...
The Padovan sequence numbers can be written in terms of powers of the roots of the equation [1] = This equation has 3 roots; one real root p (known as the plastic ratio) and two complex conjugate roots q and r. [5] Given these three roots, the Padovan sequence can be expressed by a formula involving p, q and r :
In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression, which is also known as an arithmetic sequence. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms.
Angel numbers are repeating number sequences, often used as guides for deeper spiritual exploration. Ranging from 000 to 999 , each sequence carries its own distinct meaning and energy.
The fixed rate for a 15-year mortgage is 5.96%, down 14 basis points from last week's average 6.10%. These figures are lower than a year ago, when rates averaged 7.03% for a 30-year term and 6.29% ...
The sequence can be used to prove that there are infinitely many prime numbers, as any prime can divide at most one number in the sequence. More strongly, no prime factor of a number in the sequence can be congruent to 5 modulo 6, and the sequence can be used to prove that there are infinitely many primes congruent to 7 modulo 12. [20]