What is the 7084th prime number?
The 7084th prime number is 71527. The next prime is 71537 (a gap of 10) and the one before is 71503.
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 7084th one is 71527.
- 2
71527 is prime because no prime up to ā71527 ā 267.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7084th prime is close to 7084 Ć ln(7084) ā 62804, and here it is 71527.
- 4
71527 has no twin: neither 71525 nor 71529 is prime.
Primes around the 7084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7081 | 71479 | 6 |
| 7082 | 71483 | 4 |
| 7083 | 71503 | 20 |
| 7084 | 71527 | 24 |
| 7085 | 71537 | 10 |
| 7086 | 71549 | 12 |
| 7087 | 71551 | 2 |
Questions
What is the 7084th prime number?
71527.
Which prime number is 71527?
71527 is the 7084th prime number.
What is the sum of the first 7084 primes?
239,434,995.