What is the 5080th prime number?
The 5080th prime number is 49433. The next prime is 49451 (a gap of 18) and the one before is 49429.
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 5080th one is 49433.
- 2
49433 is prime because no prime up to ā49433 ā 222.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5080th prime is close to 5080 Ć ln(5080) ā 43348, and here it is 49433.
- 4
49433 has no twin: neither 49431 nor 49435 is prime.
Primes around the 5080th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5077 | 49411 | 2 |
| 5078 | 49417 | 6 |
| 5079 | 49429 | 12 |
| 5080 | 49433 | 4 |
| 5081 | 49451 | 18 |
| 5082 | 49459 | 8 |
| 5083 | 49463 | 4 |
Questions
What is the 5080th prime number?
49433.
Which prime number is 49433?
49433 is the 5080th prime number.
What is the sum of the first 5080 primes?
118,377,899.