What is the 6980th prime number?
The 6980th prime number is 70451. The next prime is 70457 (a gap of 6) and the one before is 70439.
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 6980th one is 70451.
- 2
70451 is prime because no prime up to ā70451 ā 265.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6980th prime is close to 6980 Ć ln(6980) ā 61779, and here it is 70451.
- 4
70451 has no twin: neither 70449 nor 70453 is prime.
Primes around the 6980th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6977 | 70423 | 30 |
| 6978 | 70429 | 6 |
| 6979 | 70439 | 10 |
| 6980 | 70451 | 12 |
| 6981 | 70457 | 6 |
| 6982 | 70459 | 2 |
| 6983 | 70481 | 22 |
Questions
What is the 6980th prime number?
70451.
Which prime number is 70451?
70451 is the 6980th prime number.
What is the sum of the first 6980 primes?
232,049,991.