What is the 5076th prime number?
The 5076th prime number is 49409. The next prime is 49411 (a gap of 2) and the one before is 49393.
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 5076th one is 49409.
- 2
49409 is prime because no prime up to ā49409 ā 222.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5076th prime is close to 5076 Ć ln(5076) ā 43310, and here it is 49409.
- 4
49409 is a twin prime: 49409 and 49411 are both prime.
Primes around the 5076th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5073 | 49369 | 2 |
| 5074 | 49391 | 22 |
| 5075 | 49393 | 2 |
| 5076 | 49409 | 16 |
| 5077 | 49411 | 2 |
| 5078 | 49417 | 6 |
| 5079 | 49429 | 12 |
Questions
What is the 5076th prime number?
49409.
Which prime number is 49409?
49409 is the 5076th prime number.
What is the sum of the first 5076 primes?
118,180,209.