What is the 1625th prime number?
The 1625th prime number is 13729. The next prime is 13751 (a gap of 22) and the one before is 13723.
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 1625th one is 13729.
- 2
13729 is prime because no prime up to ā13729 ā 117.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1625th prime is close to 1625 Ć ln(1625) ā 12014, and here it is 13729.
- 4
13729 has no twin: neither 13727 nor 13731 is prime.
Primes around the 1625th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1622 | 13711 | 2 |
| 1623 | 13721 | 10 |
| 1624 | 13723 | 2 |
| 1625 | 13729 | 6 |
| 1626 | 13751 | 22 |
| 1627 | 13757 | 6 |
| 1628 | 13759 | 2 |
Questions
What is the 1625th prime number?
13729.
Which prime number is 13729?
13729 is the 1625th prime number.
What is the sum of the first 1625 primes?
10,440,178.