What is the 2963rd prime number?
The 2963rd prime number is 27017. The next prime is 27031 (a gap of 14) and the one before is 27011.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2963rd one is 27017.
- 2
27017 is prime because no prime up to ā27017 ā 164.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2963rd prime is close to 2963 Ć ln(2963) ā 23686, and here it is 27017.
- 4
27017 has no twin: neither 27015 nor 27019 is prime.
Primes around the 2963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2960 | 26987 | 6 |
| 2961 | 26993 | 6 |
| 2962 | 27011 | 18 |
| 2963 | 27017 | 6 |
| 2964 | 27031 | 14 |
| 2965 | 27043 | 12 |
| 2966 | 27059 | 16 |
Questions
What is the 2963rd prime number?
27017.
Which prime number is 27017?
27017 is the 2963rd prime number.
What is the sum of the first 2963 primes?
37,637,588.