What is the 5079th prime number?
The 5079th prime number is 49429. The next prime is 49433 (a gap of 4) and the one before is 49417.
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 5079th one is 49429.
- 2
49429 is prime because no prime up to ā49429 ā 222.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5079th prime is close to 5079 Ć ln(5079) ā 43338, and here it is 49429.
- 4
49429 has no twin: neither 49427 nor 49431 is prime.
Primes around the 5079th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5076 | 49409 | 16 |
| 5077 | 49411 | 2 |
| 5078 | 49417 | 6 |
| 5079 | 49429 | 12 |
| 5080 | 49433 | 4 |
| 5081 | 49451 | 18 |
| 5082 | 49459 | 8 |
Questions
What is the 5079th prime number?
49429.
Which prime number is 49429?
49429 is the 5079th prime number.
What is the sum of the first 5079 primes?
118,328,466.