What is the 2277th prime number?
The 2277th prime number is 20129. The next prime is 20143 (a gap of 14) and the one before is 20123.
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 2277th one is 20129.
- 2
20129 is prime because no prime up to ā20129 ā 141.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2277th prime is close to 2277 Ć ln(2277) ā 17603, and here it is 20129.
- 4
20129 has no twin: neither 20127 nor 20131 is prime.
Primes around the 2277th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2274 | 20113 | 6 |
| 2275 | 20117 | 4 |
| 2276 | 20123 | 6 |
| 2277 | 20129 | 6 |
| 2278 | 20143 | 14 |
| 2279 | 20147 | 4 |
| 2280 | 20149 | 2 |
Questions
What is the 2277th prime number?
20129.
Which prime number is 20129?
20129 is the 2277th prime number.
What is the sum of the first 2277 primes?
21,472,286.