What is the 5774th prime number?
The 5774th prime number is 56929. The next prime is 56941 (a gap of 12) and the one before is 56923.
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 5774th one is 56929.
- 2
56929 is prime because no prime up to ā56929 ā 238.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5774th prime is close to 5774 Ć ln(5774) ā 50009, and here it is 56929.
- 4
56929 has no twin: neither 56927 nor 56931 is prime.
Primes around the 5774th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5771 | 56911 | 2 |
| 5772 | 56921 | 10 |
| 5773 | 56923 | 2 |
| 5774 | 56929 | 6 |
| 5775 | 56941 | 12 |
| 5776 | 56951 | 10 |
| 5777 | 56957 | 6 |
Questions
What is the 5774th prime number?
56929.
Which prime number is 56929?
56929 is the 5774th prime number.
What is the sum of the first 5774 primes?
155,308,073.