What is the 3625th prime number?
The 3625th prime number is 33851. The next prime is 33857 (a gap of 6) and the one before is 33829.
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 3625th one is 33851.
- 2
33851 is prime because no prime up to ā33851 ā 183.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3625th prime is close to 3625 Ć ln(3625) ā 29709, and here it is 33851.
- 4
33851 has no twin: neither 33849 nor 33853 is prime.
Primes around the 3625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3622 | 33811 | 2 |
| 3623 | 33827 | 16 |
| 3624 | 33829 | 2 |
| 3625 | 33851 | 22 |
| 3626 | 33857 | 6 |
| 3627 | 33863 | 6 |
| 3628 | 33871 | 8 |
Questions
What is the 3625th prime number?
33851.
Which prime number is 33851?
33851 is the 3625th prime number.
What is the sum of the first 3625 primes?
57,821,096.