24419

Properties

Appears in sequences

• a(n) = Sum_{k=0..n-2} T(n,k) * T(n,k+2), with T given by A026615.at n=6A026958
• a(n) = Sum_{d|n} sigma(n/d)*d^3.at n=28A027847
• Smallest k>n such that n^3+1 divides k*n^2+1.at n=29A071568
• Largest prime factor of n! + k where k is the least positive integer such that n! + k is a square.at n=18A083397
• Primes that can be written as 1+p+p^k, p prime and k > 1.at n=20A084444
• Smallest member of a pair of consecutive twin prime pairs that have exactly n primes between them.at n=40A089637
• Average of 4 primes where the integer Schwarzian derivative is zero.at n=23A094903
• Primes of the form n^3 + n + 1.at n=12A095692
• Primes of the form 2*n^2 + 2*n - 1.at n=35A098828
• Lesser of twin primes for which the gap before the following twin primes is a record.at n=12A113275
• Primes p such that denominator of Sum_{k=1..p-1} 1/k^2 is a square and denominator Sum_{k=1..p-1} 1/k^3 is a cube and denominator Sum_{k=1..p-1} 1/k^4 is a fourth power.at n=18A127062
• Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q).at n=20A145701
• Primes of the form ((p-1)/2)^3+((p+1)/2), p are prime numbers.at n=10A163421
• Twin prime pairs p, p+2 such that p+(p+2)+1 and p*(p+2)+1 are both square.at n=22A166564
• a(n) = prime(n)^3 + prime(n) + 1.at n=9A181150
• Duplicate of A089637.at n=40A181981
• Primes that are the sum of 51 consecutive primes.at n=17A215992
• Smallest primes a(n) such that 1 + a(1), 1 + a(1) + a(1)*a(2), ..., 1 + a(1) + a(1)*a(2) + ... + a(1)*a(2)*a(3)*...*a(n) are prime numbers with a(1) = 2 and a(i) < a(i+1).at n=44A227613
• Primes p such that p+2 and q are primes, where q is concatenation of binary representations of p and p+2: q = p * 2^L + p+2, where L is the length of binary representation of p+2: L=A070939(p+2).at n=35A232238
• T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=48A240153