What is the 5266th prime number?
The 5266th prime number is 51461. The next prime is 51473 (a gap of 12) and the one before is 51449.
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 5266th one is 51461.
- 2
51461 is prime because no prime up to ā51461 ā 226.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5266th prime is close to 5266 Ć ln(5266) ā 45124, and here it is 51461.
- 4
51461 has no twin: neither 51459 nor 51463 is prime.
Primes around the 5266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5263 | 51437 | 6 |
| 5264 | 51439 | 2 |
| 5265 | 51449 | 10 |
| 5266 | 51461 | 12 |
| 5267 | 51473 | 12 |
| 5268 | 51479 | 6 |
| 5269 | 51481 | 2 |
Questions
What is the 5266th prime number?
51461.
Which prime number is 51461?
51461 is the 5266th prime number.
What is the sum of the first 5266 primes?
127,761,557.