What is the 6664th prime number?
The 6664th prime number is 66877. The next prime is 66883 (a gap of 6) and the one before is 66863.
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 6664th one is 66877.
- 2
66877 is prime because no prime up to ā66877 ā 258.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6664th prime is close to 6664 Ć ln(6664) ā 58673, and here it is 66877.
- 4
66877 has no twin: neither 66875 nor 66879 is prime.
Primes around the 6664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6661 | 66851 | 10 |
| 6662 | 66853 | 2 |
| 6663 | 66863 | 10 |
| 6664 | 66877 | 14 |
| 6665 | 66883 | 6 |
| 6666 | 66889 | 6 |
| 6667 | 66919 | 30 |
Questions
What is the 6664th prime number?
66877.
Which prime number is 66877?
66877 is the 6664th prime number.
What is the sum of the first 6664 primes?
210,361,137.