What is the 1907th prime number?
The 1907th prime number is 16451. The next prime is 16453 (a gap of 2) and the one before is 16447.
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 1907th one is 16451.
- 2
16451 is prime because no prime up to ā16451 ā 128.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1907th prime is close to 1907 Ć ln(1907) ā 14404, and here it is 16451.
- 4
16451 is a twin prime: 16451 and 16453 are both prime.
Primes around the 1907th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1904 | 16427 | 6 |
| 1905 | 16433 | 6 |
| 1906 | 16447 | 14 |
| 1907 | 16451 | 4 |
| 1908 | 16453 | 2 |
| 1909 | 16477 | 24 |
| 1910 | 16481 | 4 |
Questions
What is the 1907th prime number?
16451.
Which prime number is 16451?
16451 is the 1907th prime number.
What is the sum of the first 1907 primes?
14,699,648.