39199

Properties

Appears in sequences

• a(n) is the smallest prime p such that each of the first n primes has three cube roots mod p.at n=5A002225
• Primes of form k^2 - 5.at n=39A028877
• Primes of the form 8*k^2 - 1.at n=30A090684
• Primes of the form prime(n)*prime(n+1) - 4.at n=15A092761
• a(n) = A007290(n+2) - 1 = 2*C(n+2,3) - 1.at n=48A108766
• a(n) = 50*n^2 - 1.at n=27A157919
• a(n) = 32*n^2 - 1.at n=34A158563
• Primes of the form 2*p^2 + 4*p + 1, where p is also prime.at n=14A164041
• Indices of zeros of the sequence u(n)=abs(u(n-1)-gcd(u(n-1),n-1)), u(1)=1.at n=14A186253
• Primes of the form 9n^2 - 5.at n=13A201960
• Primes p of the form p = A161671(k) = A161671(k+1).at n=30A220220
• Primes p such that (p+nextprime(p))/2 is a perfect square.at n=28A225195
• Lesser of consecutive primes whose average is a perfect power.at n=31A242380
• Primes p such that p-1 is squarefree and all prime divisors of p-1 other than 11 are also in the sequence.at n=34A267504
• Prime-indexed primes q such that prime(q)-q-1 is a prime indexed prime.at n=18A318751
• Primes p such that (p^512 + 1)/2 is prime.at n=9A341264
• Number of integer partitions of 2n - 1 with the same length as alternating sum.at n=30A357488
• Sum of the legs of the unique primitive Pythagorean triple whose inradius is the n-th prime and whose short leg is an odd number.at n=33A382097
• Prime numbersat n=4127