A396069 Decimal expansion of the variance of the number of rolls of a fair standard die until the total sum of all rolls is a prime number.

6, 2, 4, 2, 7, 7, 8, 6, 6, 8, 2, 7, 9, 0, 7, 5, 3, 1, 5, 3, 6, 2, 0, 7, 5, 5, 0, 1, 6, 2, 3, 1, 6, 8, 2, 0, 8, 5, 9, 1, 7, 0, 7, 0, 5, 2, 2, 5, 4, 0, 4, 2, 9, 4, 7, 9, 2, 9, 7, 4, 8, 3, 3, 5, 3, 9, 1, 8, 0, 2, 6, 8, 5, 0, 4, 3, 0, 8, 4, 2, 9, 6, 3, 4, 4, 2, 1, 7, 4, 0, 4, 8, 5, 8, 3, 2, 4, 9, 2, 6, 1, 5, 9, 5, 3

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..1001 (from the paper by Koutschan et al.)

Christoph Koutschan, Tipaluck Krityakierne, and Thotsaporn Aek Thanatipanonda, When Does the Dice Sum Become Prime?, arXiv:2605.13666 [math.PR], 2026.

Example

6.242778668279075315362075501623168208591707052254042...

Crossrefs

Cf. A370353 (average).

Sequence in context: A383081 A354782 A064925 * A173273 A084945 A372551

Adjacent sequences: A396066 A396067 A396068 * A396070 A396071 A396072

Keyword

nonn,cons

Author

Amiram Eldar, May 15 2026

Status

approved