What is the 5775th prime number?
The 5775th prime number is 56941. The next prime is 56951 (a gap of 10) and the one before is 56929.
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 5775th one is 56941.
- 2
56941 is prime because no prime up to ā56941 ā 238.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5775th prime is close to 5775 Ć ln(5775) ā 50019, and here it is 56941.
- 4
56941 has no twin: neither 56939 nor 56943 is prime.
Primes around the 5775th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5772 | 56921 | 10 |
| 5773 | 56923 | 2 |
| 5774 | 56929 | 6 |
| 5775 | 56941 | 12 |
| 5776 | 56951 | 10 |
| 5777 | 56957 | 6 |
| 5778 | 56963 | 6 |
Questions
What is the 5775th prime number?
56941.
Which prime number is 56941?
56941 is the 5775th prime number.
What is the sum of the first 5775 primes?
155,365,014.