100799

Properties

Appears in sequences

• Primes p such that 7 is the largest of all prime factors of the numbers between p and the next prime (cf. A052248).at n=26A080186
• Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q).at n=33A145701
• The lesser of twin prime pairs with each prime in a different century.at n=35A158277
• Primes of the form 7n^2 - 1.at n=10A201793
• Primes p such that p+q+1 is the square of a prime, where q is the next prime after p.at n=20A225809
• Number of (2+1) X (n+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..2+1} nondecreasing.at n=16A233302
• Numbers k where records occur for d(k+1)/d(k), where d(k) is A000005(k).at n=22A282531
• Lesser of twin primes p such that d(p+1) > d(q+1) for all lessers of twin primes q < p, where d(n) is the number of divisors of n (A000005).at n=20A328329
• a(n) is the least prime p such that there are exactly n primes of the form p+d where d is a divisor of p-1 or of p+1.at n=32A340160
• Emirps that can be written as p*q+p+q where p and q are emirps.at n=21A352249
• a(n) is the first emirp p such that there are exactly n unordered pairs (q,r) of emirps with p = q*r + q + r.at n=2A353030
• Primes p such that p*nextprime(p)+1 and p + nextprime(p)+1 are both perfect squares where nextprime(p) is the smallest prime that is larger than p.at n=20A375912
• Primes containing the digit string "007" in their decimal representation.at n=34A386240
• Prime numbersat n=9657