What is the 5261st prime number?
The 5261st prime number is 51427. The next prime is 51431 (a gap of 4) and the one before is 51421.
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 5261st one is 51427.
- 2
51427 is prime because no prime up to ā51427 ā 226.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5261st prime is close to 5261 Ć ln(5261) ā 45077, and here it is 51427.
- 4
51427 has no twin: neither 51425 nor 51429 is prime.
Primes around the 5261st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5258 | 51413 | 6 |
| 5259 | 51419 | 6 |
| 5260 | 51421 | 2 |
| 5261 | 51427 | 6 |
| 5262 | 51431 | 4 |
| 5263 | 51437 | 6 |
| 5264 | 51439 | 2 |
Questions
What is the 5261st prime number?
51427.
Which prime number is 51427?
51427 is the 5261st prime number.
What is the sum of the first 5261 primes?
127,504,340.