What is the 3125th prime number?
The 3125th prime number is 28687. The next prime is 28697 (a gap of 10) and the one before is 28669.
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 3125th one is 28687.
- 2
28687 is prime because no prime up to ā28687 ā 169.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3125th prime is close to 3125 Ć ln(3125) ā 25147, and here it is 28687.
- 4
28687 has no twin: neither 28685 nor 28689 is prime.
Primes around the 3125th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3122 | 28661 | 4 |
| 3123 | 28663 | 2 |
| 3124 | 28669 | 6 |
| 3125 | 28687 | 18 |
| 3126 | 28697 | 10 |
| 3127 | 28703 | 6 |
| 3128 | 28711 | 8 |
Questions
What is the 3125th prime number?
28687.
Which prime number is 28687?
28687 is the 3125th prime number.
What is the sum of the first 3125 primes?
42,157,238.