What is the 5776th prime number?
The 5776th prime number is 56951. The next prime is 56957 (a gap of 6) and the one before is 56941.
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 5776th one is 56951.
- 2
56951 is prime because no prime up to ā56951 ā 238.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5776th prime is close to 5776 Ć ln(5776) ā 50029, and here it is 56951.
- 4
56951 has no twin: neither 56949 nor 56953 is prime.
Primes around the 5776th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5773 | 56923 | 2 |
| 5774 | 56929 | 6 |
| 5775 | 56941 | 12 |
| 5776 | 56951 | 10 |
| 5777 | 56957 | 6 |
| 5778 | 56963 | 6 |
| 5779 | 56983 | 20 |
Questions
What is the 5776th prime number?
56951.
Which prime number is 56951?
56951 is the 5776th prime number.
What is the sum of the first 5776 primes?
155,421,965.