What is the 2275th prime number?
The 2275th prime number is 20117. The next prime is 20123 (a gap of 6) and the one before is 20113.
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 2275th one is 20117.
- 2
20117 is prime because no prime up to ā20117 ā 141.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2275th prime is close to 2275 Ć ln(2275) ā 17585, and here it is 20117.
- 4
20117 has no twin: neither 20115 nor 20119 is prime.
Primes around the 2275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2272 | 20101 | 12 |
| 2273 | 20107 | 6 |
| 2274 | 20113 | 6 |
| 2275 | 20117 | 4 |
| 2276 | 20123 | 6 |
| 2277 | 20129 | 6 |
| 2278 | 20143 | 14 |
Questions
What is the 2275th prime number?
20117.
Which prime number is 20117?
20117 is the 2275th prime number.
What is the sum of the first 2275 primes?
21,432,034.