What is the 2131st prime number?
The 2131st prime number is 18661. The next prime is 18671 (a gap of 10) and the one before is 18637.
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 2131st one is 18661.
- 2
18661 is prime because no prime up to ā18661 ā 136.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2131st prime is close to 2131 Ć ln(2131) ā 16333, and here it is 18661.
- 4
18661 has no twin: neither 18659 nor 18663 is prime.
Primes around the 2131st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2128 | 18593 | 6 |
| 2129 | 18617 | 24 |
| 2130 | 18637 | 20 |
| 2131 | 18661 | 24 |
| 2132 | 18671 | 10 |
| 2133 | 18679 | 8 |
| 2134 | 18691 | 12 |
Questions
What is the 2131st prime number?
18661.
Which prime number is 18661?
18661 is the 2131st prime number.
What is the sum of the first 2131 primes?
18,634,338.