What is the 7081st prime number?
The 7081st prime number is 71479. The next prime is 71483 (a gap of 4) and the one before is 71473.
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 7081st one is 71479.
- 2
71479 is prime because no prime up to ā71479 ā 267.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7081st prime is close to 7081 Ć ln(7081) ā 62774, and here it is 71479.
- 4
71479 has no twin: neither 71477 nor 71481 is prime.
Primes around the 7081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7078 | 71453 | 10 |
| 7079 | 71471 | 18 |
| 7080 | 71473 | 2 |
| 7081 | 71479 | 6 |
| 7082 | 71483 | 4 |
| 7083 | 71503 | 20 |
| 7084 | 71527 | 24 |
Questions
What is the 7081st prime number?
71479.
Which prime number is 71479?
71479 is the 7081st prime number.
What is the sum of the first 7081 primes?
239,220,482.