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db<>fiddle
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CREATE TABLE tablename (
`id` INTEGER,
`value` INTEGER
);

INSERT INTO tablename
(`id`, `value`)
VALUES
('1', '1'),
('2', '2'),
('3', '3'),
('4', '5'),
('5', '6'),
('6', '8'),
('7', '9');

select id, value, sum(flag) over (order by id) grp
from (
select *, coalesce(value <> lag(value) over (order by id) + 1, 1) flag
from tablename
)
id value grp
1 1 1
2 2 1
3 3 1
4 5 2
5 6 2
6 8 3
7 9 3