What is the 5259th prime number?
The 5259th prime number is 51419. The next prime is 51421 (a gap of 2) and the one before is 51413.
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 5259th one is 51419.
- 2
51419 is prime because no prime up to ā51419 ā 226.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5259th prime is close to 5259 Ć ln(5259) ā 45058, and here it is 51419.
- 4
51419 is a twin prime: 51419 and 51421 are both prime.
Primes around the 5259th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5256 | 51383 | 22 |
| 5257 | 51407 | 24 |
| 5258 | 51413 | 6 |
| 5259 | 51419 | 6 |
| 5260 | 51421 | 2 |
| 5261 | 51427 | 6 |
| 5262 | 51431 | 4 |
Questions
What is the 5259th prime number?
51419.
Which prime number is 51419?
51419 is the 5259th prime number.
What is the sum of the first 5259 primes?
127,401,492.