What is the 1901st prime number?
The 1901st prime number is 16411. The next prime is 16417 (a gap of 6) and the one before is 16381.
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 1901st one is 16411.
- 2
16411 is prime because no prime up to ā16411 ā 128.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1901st prime is close to 1901 Ć ln(1901) ā 14353, and here it is 16411.
- 4
16411 has no twin: neither 16409 nor 16413 is prime.
Primes around the 1901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1898 | 16363 | 2 |
| 1899 | 16369 | 6 |
| 1900 | 16381 | 12 |
| 1901 | 16411 | 30 |
| 1902 | 16417 | 6 |
| 1903 | 16421 | 4 |
| 1904 | 16427 | 6 |
Questions
What is the 1901st prime number?
16411.
Which prime number is 16411?
16411 is the 1901st prime number.
What is the sum of the first 1901 primes?
14,601,052.