What is the 2130th prime number?
The 2130th prime number is 18637. The next prime is 18661 (a gap of 24) and the one before is 18617.
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 2130th one is 18637.
- 2
18637 is prime because no prime up to ā18637 ā 136.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2130th prime is close to 2130 Ć ln(2130) ā 16324, and here it is 18637.
- 4
18637 has no twin: neither 18635 nor 18639 is prime.
Primes around the 2130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2127 | 18587 | 4 |
| 2128 | 18593 | 6 |
| 2129 | 18617 | 24 |
| 2130 | 18637 | 20 |
| 2131 | 18661 | 24 |
| 2132 | 18671 | 10 |
| 2133 | 18679 | 8 |
Questions
What is the 2130th prime number?
18637.
Which prime number is 18637?
18637 is the 2130th prime number.
What is the sum of the first 2130 primes?
18,615,677.