What is the 6983rd prime number?
The 6983rd prime number is 70481. The next prime is 70487 (a gap of 6) and the one before is 70459.
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 6983rd one is 70481.
- 2
70481 is prime because no prime up to ā70481 ā 265.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6983rd prime is close to 6983 Ć ln(6983) ā 61808, and here it is 70481.
- 4
70481 has no twin: neither 70479 nor 70483 is prime.
Primes around the 6983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6980 | 70451 | 12 |
| 6981 | 70457 | 6 |
| 6982 | 70459 | 2 |
| 6983 | 70481 | 22 |
| 6984 | 70487 | 6 |
| 6985 | 70489 | 2 |
| 6986 | 70501 | 12 |
Questions
What is the 6983rd prime number?
70481.
Which prime number is 70481?
70481 is the 6983rd prime number.
What is the sum of the first 6983 primes?
232,261,388.