What is the 5065th prime number?
The 5065th prime number is 49279. The next prime is 49297 (a gap of 18) and the one before is 49277.
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 5065th one is 49279.
- 2
49279 is prime because no prime up to ā49279 ā 221.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5065th prime is close to 5065 Ć ln(5065) ā 43205, and here it is 49279.
- 4
49279 is a twin prime: 49277 and 49279 are both prime.
Primes around the 5065th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5062 | 49253 | 30 |
| 5063 | 49261 | 8 |
| 5064 | 49277 | 16 |
| 5065 | 49279 | 2 |
| 5066 | 49297 | 18 |
| 5067 | 49307 | 10 |
| 5068 | 49331 | 24 |
Questions
What is the 5065th prime number?
49279.
Which prime number is 49279?
49279 is the 5065th prime number.
What is the sum of the first 5065 primes?
117,637,310.