What is the 6993rd prime number?
The 6993rd prime number is 70583. The next prime is 70589 (a gap of 6) and the one before is 70573.
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 6993rd one is 70583.
- 2
70583 is prime because no prime up to ā70583 ā 265.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6993rd prime is close to 6993 Ć ln(6993) ā 61907, and here it is 70583.
- 4
70583 has no twin: neither 70581 nor 70585 is prime.
Primes around the 6993rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6990 | 70549 | 12 |
| 6991 | 70571 | 22 |
| 6992 | 70573 | 2 |
| 6993 | 70583 | 10 |
| 6994 | 70589 | 6 |
| 6995 | 70607 | 18 |
| 6996 | 70619 | 12 |
Questions
What is the 6993rd prime number?
70583.
Which prime number is 70583?
70583 is the 6993rd prime number.
What is the sum of the first 6993 primes?
232,966,714.