What is the 5677th prime number?
The 5677th prime number is 55927. The next prime is 55931 (a gap of 4) and the one before is 55921.
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 5677th one is 55927.
- 2
55927 is prime because no prime up to ā55927 ā 236.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5677th prime is close to 5677 Ć ln(5677) ā 49073, and here it is 55927.
- 4
55927 has no twin: neither 55925 nor 55929 is prime.
Primes around the 5677th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5674 | 55901 | 4 |
| 5675 | 55903 | 2 |
| 5676 | 55921 | 18 |
| 5677 | 55927 | 6 |
| 5678 | 55931 | 4 |
| 5679 | 55933 | 2 |
| 5680 | 55949 | 16 |
Questions
What is the 5677th prime number?
55927.
Which prime number is 55927?
55927 is the 5677th prime number.
What is the sum of the first 5677 primes?
149,831,620.