What is the 5078th prime number?
The 5078th prime number is 49417. The next prime is 49429 (a gap of 12) and the one before is 49411.
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 5078th one is 49417.
- 2
49417 is prime because no prime up to ā49417 ā 222.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5078th prime is close to 5078 Ć ln(5078) ā 43329, and here it is 49417.
- 4
49417 has no twin: neither 49415 nor 49419 is prime.
Primes around the 5078th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5075 | 49393 | 2 |
| 5076 | 49409 | 16 |
| 5077 | 49411 | 2 |
| 5078 | 49417 | 6 |
| 5079 | 49429 | 12 |
| 5080 | 49433 | 4 |
| 5081 | 49451 | 18 |
Questions
What is the 5078th prime number?
49417.
Which prime number is 49417?
49417 is the 5078th prime number.
What is the sum of the first 5078 primes?
118,279,037.