What is the 2276th prime number?
The 2276th prime number is 20123. The next prime is 20129 (a gap of 6) and the one before is 20117.
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 2276th one is 20123.
- 2
20123 is prime because no prime up to ā20123 ā 141.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2276th prime is close to 2276 Ć ln(2276) ā 17594, and here it is 20123.
- 4
20123 has no twin: neither 20121 nor 20125 is prime.
Primes around the 2276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2273 | 20107 | 6 |
| 2274 | 20113 | 6 |
| 2275 | 20117 | 4 |
| 2276 | 20123 | 6 |
| 2277 | 20129 | 6 |
| 2278 | 20143 | 14 |
| 2279 | 20147 | 4 |
Questions
What is the 2276th prime number?
20123.
Which prime number is 20123?
20123 is the 2276th prime number.
What is the sum of the first 2276 primes?
21,452,157.