35521

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642].at n=31A078855
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,2,4).at n=11A078961
• Primes that are a concatenation of 3, 5 and a prime.at n=24A101219
• Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes.at n=31A113000
• Numbers k such that k, k+1, k+2, k+3 and k+4 are respectively 1,2,3,4,5-almost primes.at n=1A113008
• Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.at n=34A126238
• Primes in toothpick sequence A153003.at n=41A153005
• Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide.at n=37A210242
• Primes of form n^2 + 1296.at n=20A256834
• a(n) is the minimum number that is the first of n consecutive integers with an increasing number of divisors.at n=4A284596
• Partial sums of A008137.at n=40A299276
• Terms k of A112998 such that k+2 is nonsquarefree.at n=23A328160
• Numbers k such that d(k) < d(k+1) < d(k+2) < d(k+3) < d(k+4), where d(n) is the number of divisors of n.at n=2A364717
• Primes p such that p + 6, p + 10, p + 12, p + 16 and p + 22 are also primes.at n=3A383396
• Prime numbersat n=3781