What is the 6593rd prime number?
The 6593rd prime number is 66037. The next prime is 66041 (a gap of 4) and the one before is 66029.
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 6593rd one is 66037.
- 2
66037 is prime because no prime up to ā66037 ā 256.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6593rd prime is close to 6593 Ć ln(6593) ā 57977, and here it is 66037.
- 4
66037 has no twin: neither 66035 nor 66039 is prime.
Primes around the 6593rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6590 | 65983 | 2 |
| 6591 | 65993 | 10 |
| 6592 | 66029 | 36 |
| 6593 | 66037 | 8 |
| 6594 | 66041 | 4 |
| 6595 | 66047 | 6 |
| 6596 | 66067 | 20 |
Questions
What is the 6593rd prime number?
66037.
Which prime number is 66037?
66037 is the 6593rd prime number.
What is the sum of the first 6593 primes?
205,641,728.