37307

Properties

Appears in sequences

• n is prime and is the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 - n_2 = n_3. (Do not allow leading zeros for nonzero n_i.)at n=33A067861
• Home primes whose homeliness is greater than 4.at n=30A133963
• Home primes whose homeliness is 5.at n=19A133964
• Lesser of twin primes p such that 6*p+1 is greater of twin primes.at n=16A176131
• The smaller member prime(i) of an emirp pair (prime(i),prime(j)), such that the digit sum of i equals the digit sum of j.at n=22A178613
• Primes of the form 7n^2 + 4.at n=19A201605
• Primes p with p + 2, p + 6 and prime(p) + 6 all prime.at n=32A236509
• Initial members of prime quadruples (n, n+2, n+54, n+56).at n=30A248661
• Primes p such that each decimal digit of p is equal to the difference of two other digits of p.at n=26A255892
• Primes having only {0, 3, 7} as digits.at n=26A260378
• Primes p such that p+2 is prime with prime(p+2)-prime(p)=6.at n=17A261533
• Number of perfect cube parts in all partitions of n.at n=32A264392
• Lesser of twin primes P(k) and P(k+1) such that Sd(P(k)) + Sd(P(k+1)) = Sd(k) + Sd(k+1), where Sd(x) is the sum of digits of x.at n=6A277111
• Odd numbers k such that the four consecutive odd numbers starting with k have a total of 5 prime factors counting multiplicity.at n=47A328489
• Primes p such that p+2, (p^2-1)/2+p and (p^2+3)/2+3*p are also prime.at n=12A352948
• a(n) is the first prime that starts a sequence of exactly n consecutive primes prime(k+1), ..., prime(k+n) where prime(k+i)+2^i is prime for i = 1...n but not for i = n+1.at n=4A356074
• Primes p such that q1=6*p-1 and q2=6*p+1 are also primes (twin primes) and q1 is a Sophie Germain prime (i.e., 2*q1+1 is prime).at n=27A358381
• Lowest prime p in a ladder of 4 consecutive primes p, p+2, p+6, p+14.at n=17A372247
• Lowest prime p in a ladder of 5 consecutive primes p, p+2, p+6, p+14, p+30.at n=3A372248
• Twin primes p such that 6p+1, 6p-1 is a twin prime pair.at n=35A386724