What is the 5077th prime number?
The 5077th prime number is 49411. The next prime is 49417 (a gap of 6) and the one before is 49409.
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 5077th one is 49411.
- 2
49411 is prime because no prime up to ā49411 ā 222.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5077th prime is close to 5077 Ć ln(5077) ā 43319, and here it is 49411.
- 4
49411 is a twin prime: 49409 and 49411 are both prime.
Primes around the 5077th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5074 | 49391 | 22 |
| 5075 | 49393 | 2 |
| 5076 | 49409 | 16 |
| 5077 | 49411 | 2 |
| 5078 | 49417 | 6 |
| 5079 | 49429 | 12 |
| 5080 | 49433 | 4 |
Questions
What is the 5077th prime number?
49411.
Which prime number is 49411?
49411 is the 5077th prime number.
What is the sum of the first 5077 primes?
118,229,620.