What is the 5676th prime number?
The 5676th prime number is 55921. The next prime is 55927 (a gap of 6) and the one before is 55903.
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 5676th one is 55921.
- 2
55921 is prime because no prime up to ā55921 ā 236.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5676th prime is close to 5676 Ć ln(5676) ā 49063, and here it is 55921.
- 4
55921 has no twin: neither 55919 nor 55923 is prime.
Primes around the 5676th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5673 | 55897 | 8 |
| 5674 | 55901 | 4 |
| 5675 | 55903 | 2 |
| 5676 | 55921 | 18 |
| 5677 | 55927 | 6 |
| 5678 | 55931 | 4 |
| 5679 | 55933 | 2 |
Questions
What is the 5676th prime number?
55921.
Which prime number is 55921?
55921 is the 5676th prime number.
What is the sum of the first 5676 primes?
149,775,693.