27893
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of form k^2 + 4.at n=30A005473
- Primes of the form p^2 + 4, where p is prime.at n=13A045637
- Smallest prime larger than square of n-th prime.at n=38A062772
- Sum of determinants of 2nd order principal minors of powers of the matrix ((1,1,0,0),(1,0,1,0),(1,0,0,1),(1,0,0,0)).at n=22A074193
- Sum of determinants of 2nd order principal minors of powers of inverse of the matrix ((1,1,0,0),(1,0,1,0),(1,0,0,1),(1,0,0,0)).at n=22A074453
- Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=38A078765
- Duplicate of A045637.at n=13A094481
- Primes of the form n^2 + 4n + 8.at n=29A098062
- Smallest prime factor of prime(n)! / prime(n)# + 1.at n=8A103891
- Primes in the sequence A003294 of certain fourth powers bases.at n=23A134820
- Prime numbers p such that p - 1 is the fourth a-figurate number and nineteenth b-figurate number for some a and b.at n=28A144327
- Prime p of the form a^b + c^d = p, where a, b, c, d are also primes.at n=33A164074
- Prime p1 of the form a^b + c^d = p1, where a, b, c, d are primes and a + b + c + d = p2, where p2 (A164076) is also prime.at n=17A164075
- Prime p3 of the sequence A164077: a^b + c^d = p1 (A164077), where a, b, c, d are primes and a + b + c + d = p2 (A164078), where p2 is prime and conc(abcd) = p3 (concatenation of a, b, c , d) is also prime.at n=5A164079
- List of primes of the form x^2+y^2 such that tau(x^2+y^2) = bigomega(x*y).at n=22A174024
- Values of q in A176983.at n=13A177831
- Number of nondecreasing arrangements of n numbers in -7..7 with sum zero and sum of squares not greater than n*56/3.at n=9A183925
- Number of nondecreasing arrangements of n numbers in -7..7 with sum zero and sum of squares less than n*56/3.at n=9A183933
- Least prime of the form prime(n)^2 + k^2, or 0 if none.at n=38A240130
- Primes having primitive roots 2, 3, 5, 7, 11, and 13.at n=24A241047