What is the 5260th prime number?
The 5260th prime number is 51421. The next prime is 51427 (a gap of 6) and the one before is 51419.
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 5260th one is 51421.
- 2
51421 is prime because no prime up to ā51421 ā 226.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5260th prime is close to 5260 Ć ln(5260) ā 45067, and here it is 51421.
- 4
51421 is a twin prime: 51419 and 51421 are both prime.
Primes around the 5260th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5257 | 51407 | 24 |
| 5258 | 51413 | 6 |
| 5259 | 51419 | 6 |
| 5260 | 51421 | 2 |
| 5261 | 51427 | 6 |
| 5262 | 51431 | 4 |
| 5263 | 51437 | 6 |
Questions
What is the 5260th prime number?
51421.
Which prime number is 51421?
51421 is the 5260th prime number.
What is the sum of the first 5260 primes?
127,452,913.