What is the 4672nd prime number?
The 4672nd prime number is 44963. The next prime is 44971 (a gap of 8) and the one before is 44959.
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 4672nd one is 44963.
- 2
44963 is prime because no prime up to ā44963 ā 212.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4672nd prime is close to 4672 Ć ln(4672) ā 39475, and here it is 44963.
- 4
44963 has no twin: neither 44961 nor 44965 is prime.
Primes around the 4672nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4669 | 44939 | 12 |
| 4670 | 44953 | 14 |
| 4671 | 44959 | 6 |
| 4672 | 44963 | 4 |
| 4673 | 44971 | 8 |
| 4674 | 44983 | 12 |
| 4675 | 44987 | 4 |
Questions
What is the 4672nd prime number?
44963.
Which prime number is 44963?
44963 is the 4672nd prime number.
What is the sum of the first 4672 primes?
99,098,459.