What is the 1796th prime number?
The 1796th prime number is 15373. The next prime is 15377 (a gap of 4) and the one before is 15361.
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 1796th one is 15373.
- 2
15373 is prime because no prime up to ā15373 ā 123.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1796th prime is close to 1796 Ć ln(1796) ā 13458, and here it is 15373.
- 4
15373 has no twin: neither 15371 nor 15375 is prime.
Primes around the 1796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1793 | 15349 | 18 |
| 1794 | 15359 | 10 |
| 1795 | 15361 | 2 |
| 1796 | 15373 | 12 |
| 1797 | 15377 | 4 |
| 1798 | 15383 | 6 |
| 1799 | 15391 | 8 |
Questions
What is the 1796th prime number?
15373.
Which prime number is 15373?
15373 is the 1796th prime number.
What is the sum of the first 1796 primes?
12,934,439.