What is the 1902nd prime number?
The 1902nd prime number is 16417. The next prime is 16421 (a gap of 4) and the one before is 16411.
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 1902nd one is 16417.
- 2
16417 is prime because no prime up to ā16417 ā 128.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1902nd prime is close to 1902 Ć ln(1902) ā 14361, and here it is 16417.
- 4
16417 has no twin: neither 16415 nor 16419 is prime.
Primes around the 1902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1899 | 16369 | 6 |
| 1900 | 16381 | 12 |
| 1901 | 16411 | 30 |
| 1902 | 16417 | 6 |
| 1903 | 16421 | 4 |
| 1904 | 16427 | 6 |
| 1905 | 16433 | 6 |
Questions
What is the 1902nd prime number?
16417.
Which prime number is 16417?
16417 is the 1902nd prime number.
What is the sum of the first 1902 primes?
14,617,469.