What is the 6675th prime number?
The 6675th prime number is 66977. The next prime is 67003 (a gap of 26) and the one before is 66973.
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 6675th one is 66977.
- 2
66977 is prime because no prime up to ā66977 ā 258.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6675th prime is close to 6675 Ć ln(6675) ā 58781, and here it is 66977.
- 4
66977 has no twin: neither 66975 nor 66979 is prime.
Primes around the 6675th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6672 | 66949 | 2 |
| 6673 | 66959 | 10 |
| 6674 | 66973 | 14 |
| 6675 | 66977 | 4 |
| 6676 | 67003 | 26 |
| 6677 | 67021 | 18 |
| 6678 | 67033 | 12 |
Questions
What is the 6675th prime number?
66977.
Which prime number is 66977?
66977 is the 6675th prime number.
What is the sum of the first 6675 primes?
211,097,430.