What is the 6676th prime number?
The 6676th prime number is 67003. The next prime is 67021 (a gap of 18) and the one before is 66977.
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 6676th one is 67003.
- 2
67003 is prime because no prime up to ā67003 ā 258.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6676th prime is close to 6676 Ć ln(6676) ā 58791, and here it is 67003.
- 4
67003 has no twin: neither 67001 nor 67005 is prime.
Primes around the 6676th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6673 | 66959 | 10 |
| 6674 | 66973 | 14 |
| 6675 | 66977 | 4 |
| 6676 | 67003 | 26 |
| 6677 | 67021 | 18 |
| 6678 | 67033 | 12 |
| 6679 | 67043 | 10 |
Questions
What is the 6676th prime number?
67003.
Which prime number is 67003?
67003 is the 6676th prime number.
What is the sum of the first 6676 primes?
211,164,433.