What is the 5081st prime number?
The 5081st prime number is 49451. The next prime is 49459 (a gap of 8) and the one before is 49433.
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 5081st one is 49451.
- 2
49451 is prime because no prime up to ā49451 ā 222.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5081st prime is close to 5081 Ć ln(5081) ā 43358, and here it is 49451.
- 4
49451 has no twin: neither 49449 nor 49453 is prime.
Primes around the 5081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5078 | 49417 | 6 |
| 5079 | 49429 | 12 |
| 5080 | 49433 | 4 |
| 5081 | 49451 | 18 |
| 5082 | 49459 | 8 |
| 5083 | 49463 | 4 |
| 5084 | 49477 | 14 |
Questions
What is the 5081st prime number?
49451.
Which prime number is 49451?
49451 is the 5081st prime number.
What is the sum of the first 5081 primes?
118,427,350.