42187

Properties

Appears in sequences

• a(n) = a(n-1) + a(n-2) with a(0)=2, a(1)=5. Sometimes called the Evangelist Sequence.at n=20A001060
• a(n) = F(n+1) + L(n), where F(n) and L(n) are Fibonacci and Lucas numbers, respectively.at n=21A013655
• Primes p from A031924 such that A052180(primepi(p)) = 31.at n=13A052237
• Primes that can be formed by concatenating 2^a and 3^b.at n=34A068801
• Value of C in y = x^2 + 9x + C such that y is prime for all x = 0 to 5.at n=18A097437
• Numbers p such that p = (prime(n)+ prime(n+2))/2 is prime for prime indices n=2, 3, 5...at n=36A098038
• Expansion of (7-2*x) / (1-3*x+x^2).at n=9A100545
• Primes p such that 28*p +- 33, 38*p +- 33 and 58*p +- 33 are all primes.at n=1A106025
• Primes p such that p + googol is prime.at n=27A108250
• Primes that are the difference of two Fibonacci numbers; primes in A007298.at n=31A113188
• Record values in A046641.at n=42A145771
• Primes that are the sum of five consecutive Fibonacci numbers.at n=6A153892
• Primes p of the form 4m+3 for which there are exactly as many primitive roots modulo p in the interval [0,p/2] as in the interval [p/2,p].at n=31A172490
• a(1)=2, a(2)=3, then a(n)=a(n-1)+a(n-2) if n odd, a(n)=a(n-1)-a(n-2) if n even.at n=40A174562
• a(1)=2, a(2)=3, then a(n)=a(n-1)+a(n-2) if n odd, a(n)=a(n-1)-a(n-2) if n even.at n=43A174562
• Largest prime factor of A174562(n).at n=40A176195
• Largest prime factor of A174562(n).at n=43A176195
• y-values in the solution to x^2 - 20*y^2 = 176.at n=21A228208
• 2nd-largest term in n-th row of Stern's diatomic triangle A002487.at n=21A244472
• Indices where A092243 strictly changes sign.at n=16A269737