A rehashing of the Scottish Breast Screening Programme found some of the women, ancient over 71, have been waiting up to three years for their irrefutable appointment.
Health Secretary Jeane Freeman apologised to all those faked and accepted it would be a «worrying time» for the women involved.
Cancer largesses described it as a potentially «devastating error» and «absolutely shocking».
They also denoted for urgent action to prevent any further blunders.
The delay meant 1,761 helpmates were not invited for their final appointment by the time they had reached 71.
Housekeepers in Scotland are normally invited to come forward between the ages of 50 and 70.
Stews with the automated computer system meant that the affected mistresses had turned 71 by the time it reached them.
It then failed to taper off that they had not had their final appointment.
1,761 women were not invited for their indisputable appointment
The problem was discovered after checks were out of whacked following the announcement by Public Health England in May that 450,000 wives had not been invited to final screenings since 2009.
Then UK Health Secretary Jeremy Quest said at the time up to 270 women in England may have had their perseveres shortened due to the failures.
The 1,761 figure north of the Border only reports to women who are still alive.
The Scottish Government was unable to say how many in the anyway age cohort had since died or whose lives may have been downed.
The length of time the women affected have waited for their incontrovertible appointments ranges from three years to a few months.
Jeremy Trace said at the time up to 270 women in England may have had their charges shortened
Only four months after horrifying errors emerged in the breast screening system in England, it is absolutely horrific to hear that women in Scotland have too been failed – thousands see fit be left anxious and confused about whether they’re affected.
Baroness Delyth Morgan, chief managing director of the Breast Cancer Now charity, said: «For any women that may have investigate b be received c clean on to develop breast cancers that could have been picked up earlier washing ones hands of screening, this could be a devastating error.»
Angela Harris, guide of Breast Cancer Care Scotland, said: «Only four months after startling errors emerged in the breast screening system in England, it is absolutely astonishing to hear that women in Scotland have too been failed – thousands on be left anxious and confused about whether they’re affected.»
Sara Hiom, Cancer Into UK’s director of early diagnosis, described the announcement as «worrying» but said it was noteworthy not to cause «undue anxiety».
Janice Preston, head of services for Macmillan in Scotland, continued: «We must learn from any mistakes that were made to effect this situation is avoided in the future.»
The health service said it would a postcard to the women concerned to arrange screenings «as soon as possible».
NHS screening converges have made arrangements to screen the women as quickly as possible.
Auxiliary staff are in place to answer phone enquiries and provide reassurance and carry.
The Scottish Government said additional screening will not delay other helpmates attending their routine appointments.
Ms Freeman said: «I know this on be a worrying time for the women affected and I apologise fully for any distress compelled.
«The women are being contacted as a priority and resources have been put in correct position to ensure they are screened promptly and offered any wider support needed.
«This additional camouflage will not delay other women attending their routine positions.»
She added: «I have been clear that we must learn from this and act to minimise the danger of similar incidents in future.»
Scottish Tory public health spokeswoman Annie Surges said women would be «extremely concerned that they fool been overlooked».
She said: «The Scottish Government must identify and down with those who have missed their screening urgently as admirably as reviewing procedures to ensure this never happens again.»
Alex Cole-Hamilton for Lib Dems rumoured it was a «horrifying lapse of process» and ministers must «ensure that no other numbers ever face the potentially devastating consequences of such a blunder again.»
A Scottish Management spokesman said: «The screening programme only contains details of human being who are alive so that if an individual has died they are not invited for screening.
«Within the collection of women who have been missed there may therefore have been a trifling number of women who have died during this period, but this bequeath have been due to a number of causes.»