What is the 2125th prime number?
The 2125th prime number is 18553. The next prime is 18583 (a gap of 30) and the one before is 18541.
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 2125th one is 18553.
- 2
18553 is prime because no prime up to ā18553 ā 136.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2125th prime is close to 2125 Ć ln(2125) ā 16281, and here it is 18553.
- 4
18553 has no twin: neither 18551 nor 18555 is prime.
Primes around the 2125th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2122 | 18523 | 2 |
| 2123 | 18539 | 16 |
| 2124 | 18541 | 2 |
| 2125 | 18553 | 12 |
| 2126 | 18583 | 30 |
| 2127 | 18587 | 4 |
| 2128 | 18593 | 6 |
Questions
What is the 2125th prime number?
18553.
Which prime number is 18553?
18553 is the 2125th prime number.
What is the sum of the first 2125 primes?
18,522,660.