56167

Properties

Appears in sequences

• Primes that are concatenations of k-th composite and k-th prime.at n=10A038532
• Balanced primes (A090403) of index 3.at n=30A096707
• Primes of the form k^2 + k + 55661, with k >= 0.at n=19A116206
• Lesser of a pair (p,p+4) of cousin primes whose arithmetic mean p+2 is a square number.at n=6A176130
• Primes of the form 9n^2 - 2.at n=15A201860
• Primes p such that (p+nextprime(p))/2 is a perfect square.at n=33A225195
• Lesser of consecutive primes whose average is a perfect power.at n=36A242380
• Prime p such that sqrt(p+2) is semiprime (A001358).at n=20A257933
• (2,3,5,7)-primes (see comments for precise definition).at n=27A262728
• Number of (binary) max-heaps on n elements from the set {0,1} containing exactly five 0's.at n=44A326506
• Values of k at which the ratio k/A005132(k) sets a new record.at n=12A330788
• Number of permutations of [n] that avoid the patterns 2-41-3, 3-14-2, 2-1-4-3, and 4-5-3-1-2.at n=10A363813
• Prime numbersat n=5698