What is the 4796th prime number?
The 4796th prime number is 46399. The next prime is 46411 (a gap of 12) and the one before is 46381.
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 4796th one is 46399.
- 2
46399 is prime because no prime up to ā46399 ā 215.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4796th prime is close to 4796 Ć ln(4796) ā 40649, and here it is 46399.
- 4
46399 has no twin: neither 46397 nor 46401 is prime.
Primes around the 4796th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4793 | 46349 | 12 |
| 4794 | 46351 | 2 |
| 4795 | 46381 | 30 |
| 4796 | 46399 | 18 |
| 4797 | 46411 | 12 |
| 4798 | 46439 | 28 |
| 4799 | 46441 | 2 |
Questions
What is the 4796th prime number?
46399.
Which prime number is 46399?
46399 is the 4796th prime number.
What is the sum of the first 4796 primes?
104,764,073.