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- Balanced_prime abstract "A balanced prime is a prime number that is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, given a prime number , where n is its index in the ordered set of prime numbers,The first few balanced primes are5, 53, 157, 173, 211, 257, 263, 373, 563, 593, 607, 653, 733, 947, 977, 1103 (sequence A006562 in OEIS).For example, 53 is the sixteenth prime. The fifteenth and seventeenth primes, 47 and 59, add up to 106, half of which is 53, thus 53 is a balanced prime.When 1 was considered a prime number, 2 would have correspondingly been considered the first balanced prime since It is conjectured that there are infinitely many balanced primes.Three consecutive primes in arithmetic progression is sometimes called a CPAP-3. A balanced prime is by definition the second prime in a CPAP-3. As of 2009 the largest known CPAP-3 with proven primes has 7535 digits found by David Broadhurst and François Morain:The value of n is not known.".
- Balanced_prime wikiPageID "3949019".
- Balanced_prime wikiPageRevisionID "603643701".
- Balanced_prime hasPhotoCollection Balanced_prime.
- Balanced_prime subject Category:Classes_of_prime_numbers.
- Balanced_prime subject Category:Unsolved_problems_in_mathematics.
- Balanced_prime type Abstraction100002137.
- Balanced_prime type Attribute100024264.
- Balanced_prime type Class107997703.
- Balanced_prime type ClassesOfPrimeNumbers.
- Balanced_prime type Collection107951464.
- Balanced_prime type Condition113920835.
- Balanced_prime type Difficulty114408086.
- Balanced_prime type Group100031264.
- Balanced_prime type Problem114410605.
- Balanced_prime type State100024720.
- Balanced_prime type UnsolvedProblemsInMathematics.
- Balanced_prime comment "A balanced prime is a prime number that is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, given a prime number , where n is its index in the ordered set of prime numbers,The first few balanced primes are5, 53, 157, 173, 211, 257, 263, 373, 563, 593, 607, 653, 733, 947, 977, 1103 (sequence A006562 in OEIS).For example, 53 is the sixteenth prime.".
- Balanced_prime label "Balanced prime".
- Balanced_prime label "Nombre premier équilibré".
- Balanced_prime label "Número primo equilibrado".
- Balanced_prime label "平衡素数".
- Balanced_prime sameAs Número_primo_equilibrado.
- Balanced_prime sameAs Nombre_premier_équilibré.
- Balanced_prime sameAs 平衡素数.
- Balanced_prime sameAs m.0b85k3.
- Balanced_prime sameAs Q1934929.
- Balanced_prime sameAs Q1934929.
- Balanced_prime sameAs Balanced_prime.
- Balanced_prime wasDerivedFrom Balanced_prime?oldid=603643701.
- Balanced_prime isPrimaryTopicOf Balanced_prime.