What is the 5267th prime number?
The 5267th prime number is 51473. The next prime is 51479 (a gap of 6) and the one before is 51461.
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 5267th one is 51473.
- 2
51473 is prime because no prime up to ā51473 ā 226.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5267th prime is close to 5267 Ć ln(5267) ā 45134, and here it is 51473.
- 4
51473 has no twin: neither 51471 nor 51475 is prime.
Primes around the 5267th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5264 | 51439 | 2 |
| 5265 | 51449 | 10 |
| 5266 | 51461 | 12 |
| 5267 | 51473 | 12 |
| 5268 | 51479 | 6 |
| 5269 | 51481 | 2 |
| 5270 | 51487 | 6 |
Questions
What is the 5267th prime number?
51473.
Which prime number is 51473?
51473 is the 5267th prime number.
What is the sum of the first 5267 primes?
127,813,030.