What is the 2677th prime number?
The 2677th prime number is 24071. The next prime is 24077 (a gap of 6) and the one before is 24061.
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 2677th one is 24071.
- 2
24071 is prime because no prime up to ā24071 ā 155.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2677th prime is close to 2677 Ć ln(2677) ā 21128, and here it is 24071.
- 4
24071 has no twin: neither 24069 nor 24073 is prime.
Primes around the 2677th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2674 | 24043 | 14 |
| 2675 | 24049 | 6 |
| 2676 | 24061 | 12 |
| 2677 | 24071 | 10 |
| 2678 | 24077 | 6 |
| 2679 | 24083 | 6 |
| 2680 | 24091 | 8 |
Questions
What is the 2677th prime number?
24071.
Which prime number is 24071?
24071 is the 2677th prime number.
What is the sum of the first 2677 primes?
30,321,052.